What is simplify-5x^3y^2(6x^2y^5) ?

The solution to simplify-5x^3y^2(6x^2y^5) is -30x^5y^7

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simplify-5x^3y^2(6x^2y^5)

simplify

- 5 x^{3} y^{2} (6 x^{2} y^{5})

- 30 x^{5} y^{7}

Solution steps

- 5 x^{3} y^{2} (6 x^{2} y^{5})

Apply exponent rule:

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

x^{3} x^{2} = x^{3 + 2}

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

Add the numbers:

3 + 2 = 5

= - 5 y^{2} \cdot 6 x^{5} y^{5}

Apply exponent rule:

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

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

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

Add the numbers:

2 + 5 = 7

= - 5 \cdot 6 x^{5} y^{7}

Multiply the numbers:

5 \cdot 6 = 30

= - 30 x^{5} y^{7}

(3 - x)^{- 4}

(2)^{10}

(1 - x^{2})^{3}

(\frac{( 4 ^{2} ) ^{- 1}}{1 6 ^{- 2}})^{- 3}

e^{- (- 1)}

What is simplify-5x^3y^2(6x^2y^5) ?
The solution to simplify-5x^3y^2(6x^2y^5) is -30x^5y^7