Respuesta :
Answer:
The value of the expression is 1.
Step-by-step explanation:
The expression is:
[tex][(\frac{2}{3})^{0}]^{-3}[/tex]
Exponent rules:
[tex]a^{0}=1\\\\(a^{m})^{n}=a^{m\times n}\\\\a^{-m}=\frac{1}{a^{m}}[/tex]
Simplify the expressions as follows:
[tex][(\frac{2}{3})^{0}]^{-3}=[1]^{-3}[/tex]
[tex]=\frac{1}{1^{3}}\\\\=\frac{1}{1}\\\\=1[/tex]
Thus, the value of the expression is 1.
The value of Left-bracket (two-thirds) Superscript 0 Baseline Right-bracket Superscript negative 3 is 1.
What is exponents and power?
Power denotes the repeated multiplication of a factor and the number which is raised to that base factor is the exponent.
Given expression:
[tex][(\frac{2}{3}) ^0]^{-3}[/tex]
Now, we know that any quantity when raised to power zero gives 1
So,
[tex][(\frac{2}{3}) ^0]^{-3}[/tex] =[tex]1^{-3}[/tex]
Now, [tex]a^{-m} = a^{m}[/tex]
=1/1³
=1/1
=1
Hence, the value of expression is 1.
Learn more about exponents and power here:
https://brainly.com/question/15722035
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