Question

Simplify using laws of exponent 125× 5² × a⁷ / 10³ × a⁴

Answer 1

haii friend

how are you?

Answer 2

Answer:

(25a^3) / 8

Step-by-step explanation:

 125× 5² × $\frac{a^{7} }{10^{3}.a^{4} }$

• $\frac{a^{m} }{a^{n} } = a^{m-n}$ => $\frac{a^{7} }{a^{4} } = a^{3}$

= $5^{3} .5^{2} . \frac{a^{3} }{10^{3} }$

• $a^{m} .a^{n} = a^{m+n}$ => $5^{2} . 5^{3} = 5^{2+3} = 5^{5}$

= $5^{5}. \frac{a^{3} }{(2.5)^{3} }$

• $(a.b)^{n} = a^{n}.b^{n}$

= $\\\frac{5^{5}.a^{3}}{5^{3}.2^{3} }$

= $\frac{5^{2}.a^{3} }{2^{3} } = \frac{25a^{3} }{8}$