Question

Which expression is equivalent to 15a^8b^4/5a^4b

Answer 1

Answer: The given expression $\frac{15a^8b^4}{5a^4b}$ simplified to  $3a^4b^3$

Step-by-step explanation:

Given : expression $\frac{15a^8b^4}{5a^4b}$

We have to simplify the given expression $\frac{15a^8b^4}{5a^4b}$

Consider the given expression $\frac{15a^8b^4}{5a^4b}$

Divide the numbers $\frac{15}{5}=3$

$=\frac{3a^8b^4}{a^4b}$

Apply exponent rule, $\frac{x^a}{x^b}\:=\:x^{a-b}$

We have,

$\frac{a^8}{a^4}=a^{8-4}=a^4$

$=\frac{3a^4b^4}{b}$

Cancel out common factor b,

We have

$=3a^4b^3$

Thus, the given expression $\frac{15a^8b^4}{5a^4b}$ simplified to  $3a^4b^3$

Answer 2

Answer:

$\frac{15a^8b^4}{5a^4b}=3a^{4}b^{3}$

Step-by-step explanation:

Given : Expression $\frac{15a^8b^4}{5a^4b}$

To find : The simplified form of the expression?

Solution :

Step 1 - Write the expression

$\frac{15a^8b^4}{5a^4b}$

Step - 2 Divide Nr. and Dr. by 5

$=\frac{3a^8b^4}{a^4b}$

Step 3 - Apply exponent rule i.e, $\frac{x^a}{x^b}\:=\:x^{a-b}$

$=3a^{8-4}b^{4-1}}$

$=3a^{4}b^{3}$

Therefore, The required simplified form of the given expression is

$\frac{15a^8b^4}{5a^4b}=3a^{4}b^{3}$