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Step-4

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)^10 × (5/2)^-7 \$
2	By using the formula \$(a/b)^-n = (b/a)^n\$	\$ (5/2)^10 × (2/5)^7 \$
3	Using law of exponent \$(a/b)^n = a^n/b^n\$	\$ \cancel(5^10)^3/\cancel(2^10)^3 × \cancel(2^7)/\cancel(5^7) \$
4	After cancellation we get	\$ 5^3/2^3 \$
5	After simplification we get	\$ 125/8 \$
6	Answer	B = \$ 125/8 \$

Steps

Problem

Solution

Simplify

\$ (5/2)^10 × (5/2)^-7 \$

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

\$ (5/2)^10 × (2/5)^7 \$

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

\$ \cancel(5^10)^3/\cancel(2^10)^3 × \cancel(2^7)/\cancel(5^7) \$

After cancellation we get

\$ 5^3/2^3 \$

After simplification we get

\$ 125/8 \$

Answer

B = \$ 125/8 \$