What is 16x^5y^4(14x^2y^2) ?

The solution to 16x^5y^4(14x^2y^2) is 224x^7y^6

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simplify 16x^5y^4(14x^2y^2)

simplify

16 x^{5} y^{4} (14 x^{2} y^{2})

224 x^{7} y^{6}

Solution steps

16 x^{5} y^{4} (14 x^{2} y^{2})

Apply exponent rule:

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

x^{5} x^{2} = x^{5 + 2}

= 16 y^{4} \cdot 14 x^{5 + 2} y^{2}

Add the numbers:

5 + 2 = 7

= 16 y^{4} \cdot 14 x^{7} y^{2}

Apply exponent rule:

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

y^{4} y^{2} = y^{4 + 2}

= 16 \cdot 14 x^{7} y^{4 + 2}

Add the numbers:

4 + 2 = 6

= 16 \cdot 14 x^{7} y^{6}

Multiply the numbers:

16 \cdot 14 = 224

= 224 x^{7} y^{6}

- 1^{3}

(23) (23)

\frac{- 12}{- 3}

(5 - 7) (5 - 7)

\frac{a ^{2}}{b ^{2}}