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Popular >

simplify (1/2 x^4)(7x^2)

Solution

simplify

(\frac{1}{2} x^{4}) (7 x^{2})

Solution

\frac{7 x ^{6}}{2}

Solution steps

(\frac{1}{2} x^{4}) (7 x^{2})

Apply exponent rule:

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

x^{4} x^{2} = x^{4 + 2}

= \frac{1}{2} \cdot 7 x^{4 + 2}

Add the numbers:

4 + 2 = 6

= \frac{1}{2} \cdot 7 x^{6}

Multiply fractions:

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

= \frac{1 \cdot 7 x ^{6}}{2}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7 x ^{6}}{2}

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Frequently Asked Questions (FAQ)

What is (1/2 x^4)(7x^2) ?
The solution to (1/2 x^4)(7x^2) is (7x^6)/2