Question

Please help exponent questions =[

If 2^x = 10, then 2^2x =
If 2a^2 + 3a - 5a^2= 9, then a-a^2=
If 9^x = 25, then 3^x+1 =
If b^3=4 then b^6
If 2= p^3, then 8p must equal
if 5 = a^x then 5/a =

Answer 1

If 2^x = 10, then 2^2x = (2^x)^2 = 10^2 = 100

If 2a^2 + 3a - 5a^2= 9,
-3a^2 + 3a - 9 = 0
-a^2 + a - 3 = 0
then a - a^2 = 3

If 9^x = 25,
(3^2)^x = 25
(3^x)^2 = 25
3^x = 5
then 3^x+1 = 6


If b^3=4
(b^3) = 4
(b^3)^2 = 4^2
then b^6 = 16


If 2= p^3,
p = 2^(1/3)
8p = 8(2^(1/3)) = 2^3 * 2^(1/3) = 2^(10/3)
then 8p must equal 2^(10/3)

if 5 = a^x
5^(1/x) = a

then 5/a = 5/5^(1/x) = 5^( 1 - 1/x)
= 5^( (x-1)/x )