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Step-2

Title: Simplify the expression

Grade: 8-a Lesson: S3-L4

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Given that \$ (4^-4 \times 3)/(2^-4 \times 12^-3 ) \$
2	Step	After simplification we get	\$ (4^-4 \times 3)/(2^-4 \times (4 \times 3)^-3 ) \$
3	Step	After simplification we get	\$ (4^-4 \times 3)/(2^-4 \times 4^-3 \times 3^-3 ) \$
4	Formula:	By using this formula \$a^(-m)/a^(-n) = a^n/a^m\$	\$ (2^4 \times \cancel(4^3) \times 3^3 \times 3^1)/(\cancel(4^4)^1) \$
5	Formula:	By using this formula \$a^(m+n) = a^m *a^n\$	\$ (2^4 \times 3^(3+1))/4 \$
6	Step	After cancellation	\$ (2^4 \times 3^4)/4 \$
7	Step	After simplification we get	\$ (\cancel16^4 \times 81)/\cancel4^1\$
8	Step	After cancellation we get	\$ 4 \times 81 \$
9	Step	After multiplication we get	\$ 324 \$
10		Answer	C

Step

Type

Explanation

Answer

Problem

Given that
\$ (4^-4 \times 3)/(2^-4 \times 12^-3 ) \$

Step

After simplification we get

\$ (4^-4 \times 3)/(2^-4 \times (4 \times 3)^-3 ) \$

Step

After simplification we get

\$ (4^-4 \times 3)/(2^-4 \times 4^-3 \times 3^-3 ) \$

Formula:

By using this formula \$a^(-m)/a^(-n) = a^n/a^m\$

\$ (2^4 \times \cancel(4^3) \times 3^3 \times 3^1)/(\cancel(4^4)^1) \$

Formula:

By using this formula \$a^(m+n) = a^m *a^n\$

\$ (2^4 \times 3^(3+1))/4 \$

Step

After cancellation

\$ (2^4 \times 3^4)/4 \$

Step

After simplification we get

\$ (\cancel16^4 \times 81)/\cancel4^1\$

Step

After cancellation we get

\$ 4 \times 81 \$

Step

After multiplication we get

\$ 324 \$

Answer