Question

5✓5×5^3 ÷ 5^-3/2 = 5^a+2

Answer 1

Step-by-step explanation:

first solution

Read Solution (Total 2)

5^1x5^1/2x5^3+5^-3/2 = 5^(a+2)

5^3/2x5^3+5^-3/2

5^9/2+5^-3/2

5^6/2

5^3 = 5^(a+2)

now, 3 = a+2

a=1

second solution

a=2.5

Explanation :

5√5 x 5^3 + 5^-3/2 = 5 ^(a + 2)

11.18 x 125 + 111.18 = 5^a 5^2

1397.5=5^a (25)

1397.5/25=5^a

55.9=5^a

therefore a=2.5 i.e 5^2.5=55.9