Fill in the blanks -22- 23 -

By the properties of exponent, we know that a^x×a^y = a^x+y0ex0ex(a^x)^y = a^x× yBy using the above properties (2^2× 2)^3 = (2^2+1)^30ex0ex = (2^3 ...

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Byju's Answer

Standard VIII

Mathematics

Operations on Exponents in Algebraic Expansions

Fill in the b...

Question

Fill in the blanks :
${(2^{2} \times 2)}^{3} =________$

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Solution

By the properties of exponent, we know that -
$a^{x} \times a^{y} = a^{x + y} {(a^{x})}^{y} = a^{x \times y}$
By using the above properties -
${(2^{2} \times 2)}^{3} = {(2^{2 + 1})}^{3} = {(2^{3})}^{3} = 2^{3 \times 3} = 2^{9}$
Hence, the correct answer is $2^{9}$ .

Suggest Corrections

Fill in the blanks :22×23=________

By the properties of exponent, we know that -ax×ay=ax+yaxy=ax×yBy using the above properties -22×23=22+13=233=23×3=29Hence, the correct answer is 29.

Fill in the blanks :
${(2^{2} \times 2)}^{3} =________$

By the properties of exponent, we know that -
$a^{x} \times a^{y} = a^{x + y} {(a^{x})}^{y} = a^{x \times y}$
By using the above properties -
${(2^{2} \times 2)}^{3} = {(2^{2 + 1})}^{3} = {(2^{3})}^{3} = 2^{3 \times 3} = 2^{9}$
Hence, the correct answer is $2^{9}$ .