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Popular >

simplify 1/2 x^4(16x^5)

Solution

simplify

\frac{1}{2} x^{4} (16 x^{5})

Solution

8 x^{9}

Solution steps

\frac{1}{2} x^{4} (16 x^{5})

Apply exponent rule:

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

x^{4} x^{5} = x^{4 + 5}

= \frac{1}{2} \cdot 16 x^{4 + 5}

Add the numbers:

4 + 5 = 9

= \frac{1}{2} \cdot 16 x^{9}

Multiply fractions:

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

= \frac{1 \cdot 16 x ^{9}}{2}

Multiply the numbers:

1 \cdot 16 = 16

= \frac{16 x ^{9}}{2}

Divide the numbers:

\frac{16}{2} = 8

= 8 x^{9}

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Frequently Asked Questions (FAQ)

What is 1/2 x^4(16x^5) ?
The solution to 1/2 x^4(16x^5) is 8x^9