Question

A^3b^-2c^-1d if a=2 b=4 c=10 d=15 express as a reduced fraction

Answer 1

Don't know if this is correct but, I think the answer is 3/4.

Answer 2

`(3)/(4)`

Explanation:

The given expression is

`a^3b^(-2)c^(-1)d`

We need to find the value of this expression in reduced fraction if a=2 b=4 c=10 d=15.

Substitute a=2 b=4 c=10 d=15 in given expression.

`(2)^3(4)^(-2)(10)^(-1)(15)`

Using the property of exponent, we get

`(2)^3* \left((1)/(4^2)\right)* \left((1)/(10)\right)* (15)`
`[\because a^(-n)=(1)/(a^n)]`

`8* \left((1)/(16)\right)* \left((1)/(10)\right)* (15)`

Cancel out common factors.

`1* \left((1)/(2)\right)* \left((1)/(2)\right)* (3)`

`(3)/(4)`

Hence, the required fraction is 3/4.