Question

Rewrite the following without an exponent.
a) 45²
b) 5³
c) (2/3)⁴
d) (1/2)⁻3

Answer 1

To rewrite expressions without an exponent, expand them into a series of multiplications; for negative exponents, first take the reciprocal of the base before expanding.

Step-by-step explanation:

To rewrite the following without an exponent:

• a) 45² is rewritten as 45 × 45.
• b) 5³ is rewritten as 5 × 5 × 5.
• c) (2/3)⁴ is rewritten as (2/3) × (2/3) × (2/3) × (2/3).
• d) (1/2)⁻³ means you are taking the reciprocal of the square of 1/2 three times, which is equivalent to rewriting it as 2 × 2 × 2 or 2³.

Note that negative exponents indicate the reciprocal of the number raised to the positive of that exponent. When you rewrite expressions, the idea is to expand them into a series of multiplications.