Select the expression that is equivalent to 512 - 56-

Given: 5^12 ÷ 5^6 We can solve this by using the laws of exponents. We know, a^m ÷ a^n = a^m n When we divide two powers with the same bases, we subtract t ...

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Standard VII

Mathematics

Multiplying Powers with the Same Exponents

Select the ex...

Question

Select the expression that is equivalent to $5^{12} \div 5^{6}$ .

5^{2}

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5^{6}

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5^{18}

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5^{5}

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Solution

The correct option is B $5^{6}$
Given: $5^{12} \div 5^{6}$

We can solve this by using the laws of exponents.

We know, $a^{m} \div a^{n}$ = $a^{m - n}$

When we divide two powers with the same bases, we subtract there exponents.

$∴$ $5^{12} \div 5^{6}$ = $5^{12 - 6}$ = $10^{6}$

Suggest Corrections

Select the expression that is equivalent to 512 ÷ 56.

The correct option is B 56Given: 512 ÷ 56 We can solve this by using the laws of exponents. We know, am ÷ an = am − n When we divide two powers with the same bases, we subtract there exponents. ∴ 512 ÷ 56 = 512 − 6 = 106

Select the expression that is equivalent to $5^{12} \div 5^{6}$ .

The correct option is B $5^{6}$
Given: $5^{12} \div 5^{6}$

We can solve this by using the laws of exponents.

We know, $a^{m} \div a^{n}$ = $a^{m - n}$

When we divide two powers with the same bases, we subtract there exponents.

$∴$ $5^{12} \div 5^{6}$ = $5^{12 - 6}$ = $10^{6}$