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Popular >

simplify (9*5/6)^2

Solution

simplify

(9 \cdot \frac{5}{6})^{2}

Solution

\frac{225}{4}

+1

Decimal Notation

56.25

Solution steps

(9 \cdot \frac{5}{6})^{2}

Apply exponent rule:

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

(9 \cdot \frac{5}{6})^{2} = 9^{2} (\frac{5}{6})^{2}

= 9^{2} (\frac{5}{6})^{2}

9^{2} = 81

= 81 (\frac{5}{6})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{5}{6})^{2} = \frac{5 ^{2}}{6 ^{2}}

= 81 \cdot \frac{5 ^{2}}{6 ^{2}}

5^{2} = 25

= 81 \cdot \frac{25}{6 ^{2}}

6^{2} = 36

= 81 \cdot \frac{25}{36}

81 \cdot \frac{25}{36} = \frac{225}{4}

= \frac{225}{4}

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Frequently Asked Questions (FAQ)

What is (9*5/6)^2 ?
The solution to (9*5/6)^2 is 225/4