Hint: We know one of the law of exponents: (x^a)^b=x^a× bStep 1: Given expression: (2^2)^2Step2: Solution:Using the above law of exponents:(2^2)^2=(2)^2× 2{Usin ...

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Standard IX

Mathematics

Powers with Positive and Negative Exponents

Evaluate 222

Question

Evaluate ${(2^{2})}^{2}$

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Solution

Hint: We know one of the law of exponents: ${(x^{a})}^{b} = x^{a \times b}$
Step 1: Given expression: ${(2^{2})}^{2}$
Step2: Solution:
Using the above law of exponents:
${(2^{2})}^{2} = {(2)}^{2 \times 2} {U \sin g {(2)}^{2 \times 4}} = {(2)}^{4} = 16$
$16$ , This is the final value.
Final Answer: $16$ , This is the final value.

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Evaluate (22)2

Hint: We know one of the law of exponents: (xa)b=xa×bStep 1: Given expression: (22)2Step2: Solution:Using the above law of exponents:(22)2=(2)2×2{Using(2)2×4}=(2)4=1616, This is the final value.Final Answer: 16, This is the final value.

Evaluate ${(2^{2})}^{2}$