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Popular >

simplify 1/2 x^4y(2x^4)

Solution

simplify

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

Solution

x^{8} y

Solution steps

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

Apply exponent rule:

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

x^{4} x^{4} = x^{4 + 4}

= \frac{1}{2} y \cdot 2 x^{4 + 4}

Add the numbers:

4 + 4 = 8

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

Multiply fractions:

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

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

Cancel the common factor:

2

= 1 \cdot y x^{8}

Multiply:

1 \cdot y = y

= x^{8} y

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Frequently Asked Questions (FAQ)

What is 1/2 x^4y(2x^4) ?
The solution to 1/2 x^4y(2x^4) is x^8y