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Popular >

simplify ((3/4)^2+1)^2

Solution

simplify

((\frac{3}{4})^{2} + 1)^{2}

Solution

\frac{625}{256}

+1

Decimal Notation

2.44140625

Solution steps

((\frac{3}{4})^{2} + 1)^{2}

Simplify

(\frac{3}{4})^{2} + 1 : \frac{25}{16}

= (\frac{25}{16})^{2}

Apply exponent rule:

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

= \frac{2 5 ^{2}}{1 6 ^{2}}

2 5^{2} = 625

= \frac{625}{1 6 ^{2}}

1 6^{2} = 256

= \frac{625}{256}

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Frequently Asked Questions (FAQ)

What is ((3/4)^2+1)^2 ?
The solution to ((3/4)^2+1)^2 is 625/256