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Step-1

Title: Simplify

Grade: 6-b Lesson: S3-L5

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

Lesson Steps

Steps	Problem	Solution
1	Simplify	\$ (5/2)^-6 × (5/2)^7 \$
2	By using the formula \$(a/b)^-n = (b/a)^n\$	\$ (2/5)^6 × (5/2)^7 \$
3	Using law of exponent \$(a/b)^n = a^n/b^n\$	\$ \cancel2^6/\cancel5^6 × \cancel(5^7)^1/\cancel(2^7)^1 \$
4	After cancellation we get	\$ 5/2 \$
5	Answer	D = \$ 5/2 \$

Steps

Problem

Solution

Simplify

\$ (5/2)^-6 × (5/2)^7 \$

By using the formula \$(a/b)^-n = (b/a)^n\$

\$ (2/5)^6 × (5/2)^7 \$

Using law of exponent \$(a/b)^n = a^n/b^n\$

\$ \cancel2^6/\cancel5^6 × \cancel(5^7)^1/\cancel(2^7)^1 \$

After cancellation we get

\$ 5/2 \$

Answer

D = \$ 5/2 \$