Question

Q: Which expression is equivalent to (−3/4) to the power of 6 x (−3/4)to the power of 2?

A: (-3/4) to power of 12
B: (-3/4) to the power of 8
C: (-3/4) to the power of 4
D: (-3/4) to the power of 3



72 pts + brainless maybe

Answer 1

Answer: The correct answer is B:
`\((-3/4)\)` to the power of 8.

Explanation:

To find the expression equivalent to
`\((-3/4)^6 * (-3/4)^2\)`, you can use the properties of exponents, which state that
`\(a^m * a^n = a^(m+n)\)`.

In this case,
`\(m = 6\)` and
`\(n = 2\)`, so:

`\[(-3/4)^6 * (-3/4)^2 = (-3/4)^(6+2) = (-3/4)^8\]`

Answer 2

`\sf B: \left(-(3)/(4) \right)\textsf{ to the power of 8}`

Explanation:

Given expression:

`\sf \left(-(3)/(4) \right)^6 * \left(-(3)/(4)\right)^(2)`

Using Product rule which states that:

`\sf a^n* a^m = a^(n+ m)`

Applying that:

`\sf \left(-(3)/(4) \right)^6 * \left(-(3)/(4)\right)^(2)= \left(-(3)/(4) \right)^(6+2) = \left(-(3)/(4) \right)^8`

Ttherefore, answer is:

`\sf B: \left(-(3)/(4) \right)\textsf{ to the power of 8}`