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Popular >

simplify (1/2 x^2)(22x^6)

Solution

simplify

(\frac{1}{2} x^{2}) (22 x^{6})

Solution

11 x^{8}

Solution steps

(\frac{1}{2} x^{2}) (22 x^{6})

Apply exponent rule:

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

x^{2} x^{6} = x^{2 + 6}

= \frac{1}{2} \cdot 22 x^{2 + 6}

Add the numbers:

2 + 6 = 8

= \frac{1}{2} \cdot 22 x^{8}

Multiply fractions:

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

= \frac{1 \cdot 22 x ^{8}}{2}

Multiply the numbers:

1 \cdot 22 = 22

= \frac{22 x ^{8}}{2}

Divide the numbers:

\frac{22}{2} = 11

= 11 x^{8}

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Frequently Asked Questions (FAQ)

What is (1/2 x^2)(22x^6) ?
The solution to (1/2 x^2)(22x^6) is 11x^8