Question
an expression is shown
(1/2)^2(1/2)^3
what is the value of the expression?
1/64
1/32
1/24
1/10
(1/2)^2(1/2)^3
what is the value of the expression?
1/64
1/32
1/24
1/10
Answers
GPT-4o mini
To simplify the expression \((1/2)^2 (1/2)^3\), you can combine the powers of the same base by adding the exponents:
\[
(1/2)^{2+3} = (1/2)^5
\]
Now calculate \((1/2)^5\):
\[
(1/2)^5 = \frac{1^5}{2^5} = \frac{1}{32}
\]
Thus, the value of the expression \((1/2)^2 (1/2)^3\) is \(\frac{1}{32}\).
The answer is \( \frac{1}{32} \).
\[
(1/2)^{2+3} = (1/2)^5
\]
Now calculate \((1/2)^5\):
\[
(1/2)^5 = \frac{1^5}{2^5} = \frac{1}{32}
\]
Thus, the value of the expression \((1/2)^2 (1/2)^3\) is \(\frac{1}{32}\).
The answer is \( \frac{1}{32} \).