Question

Write each expression using positive exponents:

9^-4
1/3^-5

Answer 1

1. The positive exponent form of 9⁻⁴ is 1/9⁴.
2. The positive exponent form of 1/3⁻⁵ is 3⁵.

Step-by-step explanation:

To write each expression using positive exponents, we can use the following rule:

For any non-zero number, x, x⁻ⁿ is equal to 1/xⁿ.

Let's apply this rule to the given expressions:

1))1) For 9⁻⁴, we want to write it with a positive exponent.

So, we take the reciprocal of the base (which is 9) and raise it to the positive power of 4:

9⁻⁴ = 1/9⁴

2)) Similarly, for 1/3⁻⁵, the positive exponent form is 3⁵.

For (1/3)⁻⁵, the base is the fraction 1/3 and it's raised to the negative power of 5.

To write it with a positive exponent, we again take the reciprocal of the base and raise it to the positive power of 5:

(1/3)⁻⁵ = (3/1)⁵ = 3⁵

Therefore, the positive exponent form of 1/3⁻⁵ is 3⁵.