Choose the correct word-answer and fill in the blanks-108- 10 - 1008-109

Compute the required value:By the properties of exponent, we know that a^x×a^y = a^x+yBy using the above property 10^8× 10 = 10^8+10ex0ex = 10^9He ...

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Standard VIII

Mathematics

Power of a Power

Choose the co...

Question

Choose the correct word/answer and fill in the blanks:
$10^{8} \times 10 =______(100^{8} / 10^{9})$

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Solution

Compute the required value:
By the properties of exponent, we know that -
$a^{x} \times a^{y} = a^{x + y}$
By using the above property -
$10^{8} \times 10 = 10^{8 + 1} = 10^{9}$
Hence, the correct answer is $10^{9}$ .

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Choose the correct word/answer and fill in the blanks:108×10=______(1008/109)

Compute the required value:By the properties of exponent, we know that -ax×ay=ax+yBy using the above property -108×10=108+1=109Hence, the correct answer is 109.

Choose the correct word/answer and fill in the blanks:
$10^{8} \times 10 =______(100^{8} / 10^{9})$

Compute the required value:
By the properties of exponent, we know that -
$a^{x} \times a^{y} = a^{x + y}$
By using the above property -
$10^{8} \times 10 = 10^{8 + 1} = 10^{9}$
Hence, the correct answer is $10^{9}$ .