Question

Prove that 9^3/2 -3 *5^0 -(1/81)^-1/2 = 15

Answer 1

Answer:

$9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15$

Step-by-step explanation:

The given expression is :

$9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15$

We need to prove that LHS is equal to RHS.

Taking LHS,

$=9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}$

$=(3)^{2\times\dfrac{3}{2}}-3-(\dfrac{1}{9})^{2\times \dfrac{-1}{2}}\\\\=27-3-9\\\\=15\\\\=RHS$

Hence, LHS = RHS.