6) Write the following in expanded form using powers of 10 (1 pt cach) a) 345 b) 7321= 7) In each case, rewrite using an exponent and then find the total (1 pt each) a) 7 x 7x7 x7 b) 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 = 8) In each case use the Pythagorean Theorem to determine the missing side. Show your work. Round to one decimal. (2pts cach) 32 m b). 12 km 3.7 km

Q: 01- find the values of x and y for the following:- c) (2 + 5i)(x + yi) = (3-5i)²

A:

Q: Which expression is an equivalent expression involving exponents that simplifies to 64? a) O b) ))…

A: a) 63(p3)(p3)67(p4)(p3)    =63-7×p3p4    =6-4×1p4-3       =164p≠64

Q: 30 18) Rationalizing the Denominator: 4-V6

A:

Q: Find the missing length indicated. 13) Find LN 14) Find RQ x+3 *+2 *+10 15) Find SR 16) Find FW

A:

Q: What would projvu be?

A: We have to find the projvu.     According to our guidelines we can solve only one question so please…

Q: Evaluate dx 1²√√²-49) SV x>7, using a trigonometric substitution.

A:

Q: 2. The power of a. 64 3 64 81. b. can be expressed in radical form as: (81) 64, 3 C. 64 81, 2 d. 2…

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Q: Ex. 2: Simplify the following, then evaluate: a) 5°x5-5 213 b) 34 37 c) 3. d)

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Q: 7. Write each power with a positive exponent. -3 2 b) 3 6. c) a)

A:

Q: Ex. 3: Represent the following as a power with a negative exponent: a) 25 1 b) 16 d) 0.000 01 1000…

A: Solve by simplfying

Q: a) Evaluate: i) L{4t² – 5sint} ii) L-1

A: We have to use Linearity  property of the Laplace transform: Lf(t)±g(t)=Lf(t))±L(g(t)           and…

Q: 1. Express as a single power. Be sure all answers are expressed with positive exponents. Show what…

A: Use the property of exponent.

Q: 的份( 124 =625 125 40 - 6, olduğuna göre, x kaçtır? A) - 2 B) 1 O C) 3

A:

Q: Find the first 3 mon-Zerw terms orf the Mnelaurin. derres

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Q: Solve for x x2 -3x-10 x-4 6x x-1 6x 6.

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Q: (2×+5)2xー5 2x -5 3.

A:

Q: IL. Find exact value Cwithout a caleutator a) logs 12- log s 28 + logs 6b 28 +logs 63

A:

Q: The expression 5.4 Va°y4 = x"y° where x and y are non-negative real numbers. the exponent of x, is:…

A:

Q: Simplify the exponent: 6w'b3 1) 4wb?

A:

Q: .) Perform the following  A. (3+4 i  ) + ( 7+5i) B.) (9+17i ) -(13-i)

A: Given: A.   (3+4 i  ) + ( 7+5i)  B.   (9+17i ) -(13-i)

Q: A) 1-2リ 1. =6 25 (1-2i)? (1+2i)²

A: We know that (i)^2 = -1

Q: 2. Simplify: a) 69000+7√576 b) 47-167 87

A:

Q: Find two positive numbers, x and y, whose sum is 236 and whose product is as large as possible. The…

A:

Q: With fn the nth Fibonacci number, show that fn+1fn-1 – få = (-1)" whenever n > 0.

A:

Q: Rationalize the denominator. /20 4) 75 A) 25 2/15 B) 3 ©) 23 215 D) 15 C). 15

A:

Q: 2. Write as a positive exponent and then evaluate: a) 82 b) (1/5)3 c) (-4)° d) e) (-6) 3 (5) (5) e)…

A:

Q: E. Select and Apply the Exponent Rules 1. Simplify: Use the exponent rules to express each of the…

A: a)32×3433=32+433=3633=36-332×3433=33

Q: 1. Simplify the expressions then evaluate where possible, showing all steps. Express your answer…

A: As per the guidelines I had solved the questions with three sub parts. Thank you.

Q: 1. Simplify: 4 + 3i h) 5 – 2i 6 - 8i g) (3 – 2i)2 i

A: g) 3-2i2h) 4+3i5-2ii) 6-8ii

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.