Consider the exponential expression 2^3=8. What is your answer to the inverse question: 2 raised to what power equals 8? Then consider the exponential expression 5^2=25. Formulate the inverse question for this expression and answer it. Lastly, construct your own expression and formulate and answer the inverse question corresponding to it.

Q: Simplify completely and express in terms of positive exponents (a-2b+5/a7b-8)-4

A: Given as

Q: Factor and simplify the algebraic expression. 4/3 5x + 10x - 4/3 1/3 5x + 10x 1/3 (Type exponential…

A: Please see the below answer.

Q: Suppose a friend says that she has discovered a method of simplifying a positive power of i: “Just…

A: Let we a positive power of i is k. We know that  i1=ii2=−1i3=−ii4=1

Q: Jacob At times, 6 x.10° cubic feet of water go over Niagara Falls every minute. There are 1, 440…

A: On solving, we get

Q: Which is the better base for working with exponents and logs : e or 10? Justify your answer.

A: log with base e is better for working with exponents.

Q: What makes the denominator zero in the equation: 2/x+4 - 1/x-4 = 4x/x2 - 16

A: We have to make the denominator Zero.

Q: What is one easy way to easily do Power To Power Exponents?

A: Power to power exponents.

Q: how come the exponent is negative

A: Given a scatter plot with both linear and exponential model for a group's data set for rolling 6…

Q: Simplify the expression: [-2x-3 /(-4x)2 ]-1 Your answer should contain only positive exponents.

A: Explanation of the answer is as follows

Q: When you convert a number from decimal notation to scientific notation, how do you know if the…

A: when you convert a number from decimal notation to scientific notation

Q: why must negative exponents be changed into positive exponents

A:

Q: Write √256³ in exponential form.

A:

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.