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Popular >

simplify (20t^2)/((5t)^2)

Solution

simplify

\frac{20 t ^{2}}{( 5 t ) ^{2}}

Solution

\frac{4}{5}

+1

Decimal Notation

0.8

Solution steps

\frac{20 t ^{2}}{( 5 t ) ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 t)^{2} = 5^{2} t^{2}

= \frac{20 t ^{2}}{5 ^{2} t ^{2}}

Factor the number:

20 = 5 \cdot 4

= \frac{5 \cdot 4 t ^{2}}{5 ^{2} t ^{2}}

\frac{5}{5 ^{2}} = \frac{1}{5}

= \frac{4 t ^{2}}{5 t ^{2}}

Cancel the common factor:

t^{2}

= \frac{4}{5}

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Frequently Asked Questions (FAQ)

What is (20t^2)/((5t)^2) ?
The solution to (20t^2)/((5t)^2) is 4/5