Respuesta :
Answer:
Equivalent expression is [tex]\frac{1}{2^{15}}[/tex]
Step-by-step explanation:
Given expression [tex](2^3)^{-5}[/tex]
Following law of exponent are used,
[tex](x^a)^b=x^{ab}\:\:and\:\:x^{-a}=\frac{1}{x^a}[/tex]
So, consider
[tex](2^3)^{-5}[/tex]
[tex]=2^{3\times(-5)}[/tex]
[tex]=2^{-15}[/tex]
[tex]=\frac{1}{2^{15}}[/tex]
Therefore, Equivalent expression is [tex]\frac{1}{2^{15}}[/tex]
The expression (2³)⁻⁵ is equivalent to the fractional expression of 1/32,768.
What is an equivalent expression?
The equivalent is the expressions that are in different forms but are equal to the same value.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ (2³)⁻⁵
Then simplify the expression, then we have
⇒ (2³)⁻⁵
⇒ (8)⁻⁵
We know that if the power of a variable is negative, then the variable is placed in the denominator with positive power.
Then the value of the expression will be
⇒ (8)⁻⁵
⇒ 1/8⁵
⇒ 1/32,768
Thus, the expression (2³)⁻⁵ is equivalent to the fractional expression of 1/32,768.
More about the equivalent link is given below.
https://brainly.com/question/889935
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