Question

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

Answer 1

Answer:

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

Answer 2

Answer:

$\dfrac{3}{4}$

Step-by-step 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

$(2)^3\times \left(\dfrac{1}{4^2}\right)\times \left(\dfrac{1}{10}\right)\times (15)$         $[\because a^{-n}=\dfrac{1}{a^n}]$

$8\times \left(\dfrac{1}{16}\right)\times \left(\dfrac{1}{10}\right)\times (15)$

Cancel out common factors.

$1\times \left(\dfrac{1}{2}\right)\times \left(\dfrac{1}{2}\right)\times (3)$

$\dfrac{3}{4}$

Hence, the required fraction is 3/4.