What is simplify-3x^2y^5(5x^5y^4) ?

The solution to simplify-3x^2y^5(5x^5y^4) is -15x^7y^9

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simplify-3x^2y^5(5x^5y^4)

simplify

- 3 x^{2} y^{5} (5 x^{5} y^{4})

- 15 x^{7} y^{9}

Solution steps

- 3 x^{2} y^{5} (5 x^{5} y^{4})

Apply exponent rule:

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

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

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

Add the numbers:

2 + 5 = 7

= - 3 y^{5} \cdot 5 x^{7} y^{4}

Apply exponent rule:

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

y^{5} y^{4} = y^{5 + 4}

= - 3 \cdot 5 x^{7} y^{5 + 4}

Add the numbers:

5 + 4 = 9

= - 3 \cdot 5 x^{7} y^{9}

Multiply the numbers:

3 \cdot 5 = 15

= - 15 x^{7} y^{9}

- 2 x < - 24

(- 7 + 3 i) - (2 - 6 i)

4 ∣ x - 1 ∣ - 8 \leq 40

x^{2} + 10 x - 1 = 0

\frac{2 ^{x + 1}}{2 ^{x}}

What is simplify-3x^2y^5(5x^5y^4) ?
The solution to simplify-3x^2y^5(5x^5y^4) is -15x^7y^9