Question

Write the expression using only positive exponents.
8⁻²∙a⁷

Answer 1

To write the expression 8⁻²∙a⁷ using only positive exponents, we need to convert the negative exponent to a positive exponent. The expression can be written as a⁷/64.

Step-by-step explanation:

To write the expression 8⁻²∙a⁷ using only positive exponents, we need to convert the negative exponent to a positive exponent. Remember that a negative exponent indicates the reciprocal of the base raised to the positive exponent. So, 8⁻² = 1/8². Therefore, the expression can be rewritten as (1/8²)∙a⁷.

Simplifying further, we multiply the fractions by multiplying the numerators and the denominators. (1/8²)∙a⁷ = (1∙a⁷)/(8²) = a⁷/64.

So, the expression 8⁻²∙a⁷ can be written using only positive exponents as a⁷/64.