Question

What does (2⁻²)⁻³ equal?
A) -0.015625
B) -8
C) 0.015625
D) 8

Answer 1

The expression (2⁻²)⁻³ equals 2⁶ which is 64.

Step-by-step explanation:

The expression (2⁻²)⁻³ can be simplified using exponent rules. First, we apply the rule that (a⁻⁴)³ is the same as a⁻(⁴׳), meaning we can multiply the exponents. This gives us 2⁻(⁻²×⁻³), which is 2⁻(⁻⁶). Simplifying further, a negative exponent means one over that number to the positive exponent, so 2⁻(⁻⁶) equals 2⁶, which is 64. Thus, the answer is D) 8.