Question
Evaluate the left hand side to find the value of aa in the equation in simplest form.
left bracket, x, to the power 5 , right bracket, start superscript, one half, end superscript, equals, x, to the power a
(x
5
)
2
1
=
x
a
left bracket, x, to the power 5 , right bracket, start superscript, one half, end superscript, equals, x, to the power a
(x
5
)
2
1
=
x
a
Answers
GPT 3.5
We can evaluate the left hand side by taking the square root of the value inside the brackets first, then raising that result to the power of 5.
(x^5)^(1/2) = x^(5 * 1/2)
(x^5)^(1/2) = x^(5/2)
So, the left hand side simplifies to x^(5/2) = x^a
This means that a = 5/2 or a = 2.5.
(x^5)^(1/2) = x^(5 * 1/2)
(x^5)^(1/2) = x^(5/2)
So, the left hand side simplifies to x^(5/2) = x^a
This means that a = 5/2 or a = 2.5.