Step-1

Title: Use law of exponent stem:[(a/b)^-m = (b/a)^m]

Grade: 6-a Lesson: S3-L3

Explanation: Hello Students, time to practice and review the steps for the problem.

Step Type Explanation Answer

1

Problem

Simplify the value

\$ (4/5)^(-4) \$

2

Formula:

Use law of exponent

\$(a/b)^-m = (b/a)^m\$

3

Step

Calculating exponents

\$ 5^4/4^4 \$

4

Step

Calculating exponents

\$=> (5 \times 5 \times 5 \times 5)/(4 \times 4 \times 4 \times 4) \$

5

Step

Calculating exponents

\$=> 625/256 \$

6

Answer

A


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