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Popular >

simplify 14x^4y^5(6x^3y^2)

Solution

simplify

14 x^{4} y^{5} (6 x^{3} y^{2})

Solution

84 x^{7} y^{7}

Solution steps

14 x^{4} y^{5} (6 x^{3} y^{2})

Apply exponent rule:

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

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

= 14 y^{5} \cdot 6 x^{4 + 3} y^{2}

Add the numbers:

4 + 3 = 7

= 14 y^{5} \cdot 6 x^{7} y^{2}

Apply exponent rule:

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

y^{5} y^{2} = y^{5 + 2}

= 14 \cdot 6 x^{7} y^{5 + 2}

Add the numbers:

5 + 2 = 7

= 14 \cdot 6 x^{7} y^{7}

Multiply the numbers:

14 \cdot 6 = 84

= 84 x^{7} y^{7}

Popular Examples

\frac{3}{4} = \frac{x}{6}

factor 10x^2+75x+125 factor

10 x^{2} + 75 x + 125

simplify 1/(a^{-5)}simplify

\frac{1}{a ^{- 5}}

∣ 2 x - 10 ∣ \geq 20

(x-1)/(15)= 2/5

\frac{x - 1}{15} = \frac{2}{5}

Frequently Asked Questions (FAQ)

What is 14x^4y^5(6x^3y^2) ?
The solution to 14x^4y^5(6x^3y^2) is 84x^7y^7