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Popular >

simplify (1/4 x^2)^2

Solution

simplify

(\frac{1}{4} x^{2})^{2}

Solution

\frac{x ^{4}}{16}

Solution steps

(\frac{1}{4} x^{2})^{2}

Apply exponent rule:

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

(\frac{1}{4} x^{2})^{2} = (\frac{1}{4})^{2} (x^{2})^{2}

= (\frac{1}{4})^{2} (x^{2})^{2}

(\frac{1}{4})^{2} = \frac{1}{16}

= \frac{1}{16} (x^{2})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{2})^{2} = x^{2 \cdot 2}

= \frac{1}{16} x^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{16} x^{4}

Simplify

\frac{1}{16} x^{4} : \frac{x ^{4}}{16}

= \frac{x ^{4}}{16}

Popular Examples

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18 x^{2} - 63 x

x^2+6sqrt(2)x+18=0

x^{2} + 62 x + 18 = 0

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jm + jn + km + kn

simplify ((q^{-1}rs^{-2})/(r^{-5)sq^{-8}})^{-1}simplify

(\frac{q ^{- 1} r s ^{- 2}}{r ^{- 5} s q ^{- 8}})^{- 1}

1 - x^{2} = 11 - 7 x

Frequently Asked Questions (FAQ)

What is (1/4 x^2)^2 ?
The solution to (1/4 x^2)^2 is (x^4)/(16)