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Popular >

simplify (1/4 x^3)(8x^4)

Solution

simplify

(\frac{1}{4} x^{3}) (8 x^{4})

Solution

2 x^{7}

Solution steps

(\frac{1}{4} x^{3}) (8 x^{4})

Apply exponent rule:

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

x^{3} x^{4} = x^{3 + 4}

= \frac{1}{4} \cdot 8 x^{3 + 4}

Add the numbers:

3 + 4 = 7

= \frac{1}{4} \cdot 8 x^{7}

Multiply fractions:

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

= \frac{1 \cdot 8 x ^{7}}{4}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8 x ^{7}}{4}

Divide the numbers:

\frac{8}{4} = 2

= 2 x^{7}

Popular Examples

p + 12 = 30

simplify (3x^5)^3 simplify

(3 x^{5})^{3}

4 w^{2} + 12 w + 9 = 25

8 > ∣ 3 x - 1 ∣ > 3

(x-5)/(4-x)<= (3-x)/(x-2)

\frac{x - 5}{4 - x} \leq \frac{3 - x}{x - 2}

Frequently Asked Questions (FAQ)

What is (1/4 x^3)(8x^4) ?
The solution to (1/4 x^3)(8x^4) is 2x^7