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Step-5

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	\$ (10/2)^-3 × (4/2)^2 \$
2	By using the formula \$(a/b)^-n = (b/a)^n\$	\$ (2/10)^3 × (4/2)^2 \$
3	Using law of exponent \$(a/b)^n = a^n/b^n\$	\$ \cancel(2^3)^1/10^3 × (4^2)/\cancel(2^2) \$
4	After cancellation we get	\$ (2 × 4^2) /10^3 \$
5	After simplification we get	\$ (2 × 16)/1000 \$
6	After simplification we get	\$ \cancel32^4/\cancel1000^(125) \$
7	After cancellation we get	\$ 4/125 \$
8	Answer	D = \$4/125 \$

Steps

Problem

Solution

Simplify

\$ (10/2)^-3 × (4/2)^2 \$

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

\$ (2/10)^3 × (4/2)^2 \$

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

\$ \cancel(2^3)^1/10^3 × (4^2)/\cancel(2^2) \$

After cancellation we get

\$ (2 × 4^2) /10^3 \$

After simplification we get

\$ (2 × 16)/1000 \$

After simplification we get

\$ \cancel32^4/\cancel1000^(125) \$

After cancellation we get

\$ 4/125 \$

Answer

D = \$4/125 \$