Question

simlify :(a^2 b^3) (a^5 b^5)​

Answer 1

Answer:

answer of this question is a^7b^8.

Answer 2

Answer:

$\red{\mathrm{Simplify}\:\left(a^2b^3\right)\left(a^5b^5\right):}\blue{\quad a^7b^8}$

Step-by-step explanation:

$\left(a^2b^3\right)\left(a^5b^5\right)$

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

$\gray{a^2a^5=\:a^{2+5}}$

$=b^3a^{2+5}b^5$

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

$=b^3a^7b^5$

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

$\gray{b^3b^5=\:b^{3+5}}$

$=a^7b^{3+5}$

$\gray{\mathrm{Add\:the\:numbers:}\:3+5=8}$

$=a^7b^8$