Question

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

Answer 1

Answer with explanation:

The expression which is equivalent to

`\Rightarrow (15 a^8 * b^4)/(5 a^4 b)\\\\\Rightarrow (3 * 5 a^8 * b^4)/(5 a^4 b)\\\\\Rightarrow 3 a^(8-4) * b^(4-1)\\\\\Rightarrow 3 a^4 * b^3\\\\ \text{Used law of exponents}\\\\ (x^a)/(x^b)=x^(a-b)\\\\15=5 * 3`

→Cancelling '5' from numerator and denominator

Answer 2

Explanation:

Given expression :

`(15a^8b^4)/(5a^4b)`

This can be simplified to

`(15)/(5)(a^8)/(a^4) (b^4)/(b)`

(By writing the like terms together)

Now we use the exponent law :

`3.a^(8-4) b^(4-1\\) \\`

`3a^4b^3`