What is expand 1/2*x*(16*x^4) ?

The solution to expand 1/2*x*(16*x^4) is 8x^5

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expand 1/2x(16*x^4)

expand

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

8 x^{5}

Solution steps

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

Remove parentheses:

(a) = a

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

Apply exponent rule:

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

x x^{4} = x^{1 + 4}

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

Add the numbers:

1 + 4 = 5

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 16 = 16

= \frac{16 x ^{5}}{2}

Divide the numbers:

\frac{16}{2} = 8

= 8 x^{5}

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