Question

Use the Power Rule of Exponents to create a simplified equivalent expression for (194)9.(1 point)
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Answer 1

answer?

Answer 2

sure?

Answer 3

Apply the Property of Negative Integer Exponents to solve 7−3. The answer should not contain any exponent expression or decimals.(1 point)
7−3=

Answer 4

u right

Answer 5

(194)9 = (19^4)9 = 19^(4*9) = 19^36

Answer 6

The simplified equivalent expression for (194)9 using the Power Rule of Exponents is 19^36.

Answer 7

Apologies for the confusion in my previous response. Let's simplify the expression using the Power Rule of Exponents correctly.

We know that (a^m)^n = a^(m*n).

So, in this case, (194)^9 = (19^4)^9 = (19^(4*9)) = 19^36.

Therefore, the simplified equivalent expression for (194)9 using the Power Rule of Exponents is 19^36.

Answer 8

The Property of Negative Integer Exponents states that for any non-zero number a, a^(-n) = 1/(a^n).

Using this property, we can solve 7^(-3) as follows:

7^(-3) = 1/(7^3) = 1/(7*7*7) = 1/343.

Therefore, 7^(-3) simplifies to 1/343.