Mathematics: Help I don’t get this one question

Yes he is indeed a man of God...

Help I don’t get this one question - id10010613, maxi12312345

elysalmeron05

14.02.2022

$-6x^2\left(3x^5\right)=-18x^7$

Hence, option (A) is true.

Step-by-step explanation:

Given the expression

$-6x^2\left(3x^5\right)$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

i.e. $x^2x^5=\:x^{2+5} \\$

so the expression becomes

$-6x^2\left(3x^5\right)=-6\cdot \:\:3x^{2+5}$

$\mathrm{Add\:the\:numbers:}\:2+5=7$

$=-6\cdot \:3x^7$

$\mathrm{Multiply\:the\:numbers:}\:6\cdot \:3=18$

=-18x^7

Therefore,

$-6x^2\left(3x^5\right)=-18x^7$

Hence, option (A) is true.

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