Question

Write each expression using a positive exponent. 8⁻⁵ , 3⁻⁹ , z⁻² , p⁻⁴

Answer 1

Expressions with negative exponents can be rewritten with positive exponents by taking the reciprocal of the base raised to the absolute value of the exponent. For instance, 8^-5 becomes 1/8^5, and similarly for the other expressions.

Step-by-step explanation:

In mathematics, when we encounter expressions with negative exponents, we can rewrite them using positive exponents by taking the reciprocal of the base raised to the absolute value of the exponent. Here's how we can write each expression with a positive exponent:

• 8-5 can be written as 1/85 or 1/32,768
• 3-9 can be written as 1/39 or 1/19,683
• z-2 can be written as 1/z2
• p-4 can be written as 1/p4

By flipping the base and converting the negative exponent to positive, we comply with the rules of exponents to simplify expressions.