Question

Which expression is equivalent to left parenthesis, 2, to the power 5 , right parenthesis, to the power minus 2 , times, 2, to the power 5 , question mark(2 5 ) −2 ×2 5 ?

Answer 1

To simplify the expression \((2^5)^{-2} \times 2^5\), we can follow the rules of exponents.

1. Start with \((2^5)^{-2}\):
\[
(2^5)^{-2} = 2^{5 \cdot (-2)} = 2^{-10}
\]

2. Now, multiply \(2^{-10}\) by \(2^5\):
\[
2^{-10} \times 2^5 = 2^{-10 + 5} = 2^{-5}
\]

Therefore, the expression \((2^5)^{-2} \times 2^5\) is equivalent to \(2^{-5}\).

Answer 2

without []}{() pelase

Answer 3

Certainly! To simplify the expression \( 2^5^{-2} \times 2^5 \):

1. First simplify \( 2^5^{-2} \):
- \( 2^5^{-2} = 2^{5 \cdot (-2)} = 2^{-10} \)

2. Now multiply \( 2^{-10} \) by \( 2^5 \):
- \( 2^{-10} \times 2^5 = 2^{-10 + 5} = 2^{-5} \)

So, the simplified expression is \( 2^{-5} \).