EXAMPI E 7 Simplify each expression. Assume that all variables represent positive real numbers. Write all answers using positive exponents only. (a) 52/753/7 (52/7)3 (c) (a2/361/2)6 (d) a8/331/3 (b) a Strategy We will use the product, power, and quotient rules for exponents to simplify each expression. Why The familiar rules for exponents are valid for rational exponents. Solution (a) 52/753/7 = 52/7 + 3/7 Use the rule xmx" = xm +n. = 55/7 Add: (b) (52/7,3 = 5(2/7)(3) Use the rule (xmyn = xmn = 56/7 Multiply: 륵(3) =D 륵(후) - 흑. (c) (a2/3b1/2)6 = (a²/3y6(b1/236 = a12/3,6/2 Use the rule (xy)" = x"yn. Use the rule (xmyn = xmn twice. Simplify the exponents. a8/331/3 (d) = a8/3 + 1/3 - 2 Use the rules xmx = xm +n and = xm - n = a8/3 + 1/3 - 6/3 2 = = a3/3 1.

Q: Use scientific notation to perform the following operation. Write the answer in scientific notation.…

A: We say a number is written in scientific notation if it is written as a product of a number that is…

Q: What does the all real numbers symbol with an exponent represent? EX: R15 (Pretend the R is…

A:

Q: 8x-6y3 142. y Extending Skills Simplify ea real numbers. (24)A 145 ks(5k-2)- (2mp)2(4m2p) 2 147…

A: Note: Hello! we are answering only one question in single question, therefore we are answering to…

Q: EXAMPLE 1 Simplify each expression. Assume that x can represent any nonzero real number. (a) 64-1/2…

A:

Q: How do you find the product of two variable expressions having the same base and fractional…

A: Topic:- basic algebra

Q: When combining like terms, you will need to add or subtract coefficients and exponents. O True O…

A:

Q: Simplify the following expressions so that all exponents are positive. All variables are nonzero. -7…

A:

Q: = e. Convert from multiplicative to additive notation: (1) a²b³; (2) a=²(b=¹c)² =

A: Here we have to convert the multiplicative notation to additive notation of1) a2 (2) a-2(b-1c)2…

Q: Simplify I 3 (y-6.25)³ x¹.y-7.z- Write your answer with positive exponents only.

A: Simplifying the given expression

Q: 1/3 - Jonathan was simplifying the expression shown for homework but made a mistake. Given: 3(4x +…

A:

Q: 1. Identify the rule that justifies each step to simpl the expression. 2* (-4') a. = 24 (-4) %3D

A: Since we are given with multiple number of question with multiple subparts and our guideline is…

Q: Use the power rule and the power of a product or quotient rule to simplify the expression. (3ba*)* =…

A:

Q: 17) A rectangular garden has a width that is four more than three times the length (1). [a] Write an…

A:

Q: Fill in the blank with an appropriate word, phrase, or symbol. With the power rule for exponents,…

A:

Q: What does it mean to say that algebra is a written language? How would I express an algebraic…

A: To explain the connection (in algebra) between the written and symbolic language

Q: This example illustrates the different ways you can enter algebraic expressions. You can always use…

A: Answer below

Q: Suppose some computations were done on a calculator. The result displayed was 3.31E28 for one…

A: (a) 3.31E28=? In scientific notation(b)5.9E-36=?

Q: Simplify the radeal expression 6.

A:

Q: 4x² + 4xy + y2

A:

Q: can you simplify and work out last problem?

A: Given,

Q: In the expression -4-10 what is the base and the exponent? (Write your answer as: base,exponent with…

A: To identify the base , exponent and numerical coefficient of the given expression  -4-10  and -7m .

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.