Choose the correct word-answer and fill in the blanks -23-33 - -2- 33-2- 33-3-

By the properties of exponent, we know that a^x×b^x = (a× b)^xBy using the above property 2^3×3^3 = (2× 3)^3Hence, the correct answer is (2× 3)^3. ...

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Standard VI

Mathematics

Exponent

Choose the co...

Question

Choose the correct word/answer and fill in the blanks :
$2^{3} \times 3^{3} =_______[{(2 \times 3)}^{3} / {(2 \times 3)}^{3 + 3}]$

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Solution

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

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Choose the correct word/answer and fill in the blanks :23×33=_______2×33/2×33+3

By the properties of exponent, we know that -ax×bx=a×bxBy using the above property -23×33=2×33Hence, the correct answer is 2×33.

Choose the correct word/answer and fill in the blanks :
$2^{3} \times 3^{3} =_______[{(2 \times 3)}^{3} / {(2 \times 3)}^{3 + 3}]$

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