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Popular >

simplify 12y*(2/3 xy^4)

Solution

simplify

12 y \cdot (\frac{2}{3} x y^{4})

Solution

8 y^{5} x

Solution steps

12 y (\frac{2}{3} x y^{4})

Apply exponent rule:

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

y y^{4} = y^{1 + 4}

= 12 \cdot \frac{2}{3} x y^{1 + 4}

Add the numbers:

1 + 4 = 5

= 12 \cdot \frac{2}{3} x y^{5}

Multiply fractions:

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

= \frac{2 \cdot 12 x y ^{5}}{3}

Multiply the numbers:

2 \cdot 12 = 24

= \frac{24 y ^{5} x}{3}

Divide the numbers:

\frac{24}{3} = 8

= 8 y^{5} x

Popular Examples

3 ∣ 4 - 3 x ∣ + 7 > 25

log_{3}(x+2)<= 1

lo g_{3} (x + 2) \leq 1

8 x - 6 = 90

x^{4} - 3 x^{2} + 2 = 0

\frac{1}{3} x - 15 = x - 5

Frequently Asked Questions (FAQ)

What is 12y*(2/3 xy^4) ?
The solution to 12y*(2/3 xy^4) is 8y^5x