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pishuonlain [190]
3 years ago
9

Find the product. (-2x^2)^3 * 3x

Mathematics
2 answers:
Lelechka [254]3 years ago
7 0

Answer:

-24\cdot x^{7}

Step-by-step explanation:

We have been given an expression (-2x^2)^3\cdot3x. We are asked to find the product of our given expression.

Using exponent property (a^b)^c=a^{b\cdot c}, we will get:

(-2x^2)^3\cdot 3x=-2^3\cdot x^{2\cdot 3}\cdot3x

(-2x^2)^3\cdot 3x=-8\cdot x^{6}\cdot 3x

(-2x^2)^3\cdot 3x=-8\cdot 3\cdot x^{6}\cdot x

(-2x^2)^3\cdot 3x=-24\cdot x^{6}\cdot x

Using exponent property a^b\cdot a^c=a^{b+c}, we will get:

(-2x^2)^3\cdot 3x=-24\cdot x^{6+1}

(-2x^2)^3\cdot 3x=-24\cdot x^{7}

Therefore, the product of our given expression would be -24\cdot x^{7}.

oee [108]3 years ago
3 0
I hope this helps you

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