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Popular >

simplify (1/4 X^4 1/2 X^6)^4

Solution

simplify

(\frac{1}{4} X^{4} \frac{1}{2} X^{6})^{4}

Solution

\frac{X ^{40}}{4096}

Solution steps

(\frac{1}{4} X^{4} \frac{1}{2} X^{6})^{4}

Apply exponent rule:

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

(\frac{1}{4} X^{4} \frac{1}{2} X^{6})^{4} = (\frac{1}{4})^{4} (X^{4})^{4} (\frac{1}{2})^{4} (X^{6})^{4}

= (\frac{1}{4})^{4} (X^{4})^{4} (\frac{1}{2})^{4} (X^{6})^{4}

(\frac{1}{4})^{4} = \frac{1}{256}

= \frac{1}{256} (X^{4})^{4} (\frac{1}{2})^{4} (X^{6})^{4}

Simplify

(X^{4})^{4} : X^{16}

= \frac{1}{256} X^{16} (\frac{1}{2})^{4} (X^{6})^{4}

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

= \frac{1}{256} X^{16} \frac{1}{16} (X^{6})^{4}

Simplify

(X^{6})^{4} : X^{24}

= \frac{1}{256} X^{16} \frac{1}{16} X^{24}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

X^{16} X^{24} = X^{16 + 24}

= \frac{1}{256} \cdot \frac{1}{16} X^{16 + 24}

Add the numbers:

16 + 24 = 40

= \frac{1}{256} \cdot \frac{1}{16} X^{40}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 1 \cdot X ^{40}}{256 \cdot 16}

Refine

= \frac{X ^{40}}{4096}

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9 (x - 4) = 9 x - 33

\frac{3 x}{6} + 1 = 7

Frequently Asked Questions (FAQ)

What is (1/4 X^4 1/2 X^6)^4 ?
The solution to (1/4 X^4 1/2 X^6)^4 is (X^{40})/(4096)