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Step-3

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 \$ (5 \times t^-2)/(5^-2 \times 10 \times t^-4)\$
2	Formula:	By using this formula	\$a^(-m)/a^(-n) = a^n/a^m\$
3	Step	After simplification	\$ 5/(5^-2 \times 10) \times (t^4/t^2) \$
4	Formula:	By using this formula	\$a^m/a^n = a^(m-n) \$
5	Step	After simplification	\$ 5/(5^-2 \times 10) \times t^(4-2) \$
6	Step	After simplification	\$ 5^1/(5^-2 \times 10) \times t^2 \$
7	Formula:	By using this formula \$a^m/a^n = a^(m-n) \$	\$ (5^(1-(-2)))/10 \times t^2 \$
8	Step	After simplifcation the powers	\$ 5^3/10 \times t^2 \$
9	Step	After simplification	\$ 125/10 \times t^2 \$
10	Step	By converting Fraction into decimal point	\$ 12.5 \times t^2 \$
11		Answer	C

Step

Type

Explanation

Answer

Problem

Given that
\$ (5 \times t^-2)/(5^-2 \times 10 \times t^-4)\$

Formula:

By using this formula

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

Step

After simplification

\$ 5/(5^-2 \times 10) \times (t^4/t^2) \$

Formula:

By using this formula

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

Step

After simplification

\$ 5/(5^-2 \times 10) \times t^(4-2) \$

Step

After simplification

\$ 5^1/(5^-2 \times 10) \times t^2 \$

Formula:

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

\$ (5^(1-(-2)))/10 \times t^2 \$

Step

After simplifcation the powers

\$ 5^3/10 \times t^2 \$

Step

After simplification

\$ 125/10 \times t^2 \$

Step

By converting Fraction into decimal point

\$ 12.5 \times t^2 \$

Answer