Evaluate the expression-1-79-1-76

Evaluating the expression1/7^9·1/7^6=1·1/7^9·7^6=1/7^9+6 (Using exponent law a^m·a^n=a^m+n)=1/7^15Hence, the expression is 1/7^9·1 ...

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Standard IX

Mathematics

Powers with Positive and Negative Exponents

Evaluate the ...

Question

Evaluate the expression.
$\frac{1}{7^{9}} \cdot \frac{1}{7^{6}}$

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Solution

Evaluating the expression
$\frac{1}{7^{9}} \cdot \frac{1}{7^{6}}$
$= \frac{1 \cdot 1}{7^{9} \cdot 7^{6}}$
$= \frac{1}{7^{9 + 6}}$ (Using exponent law $a^{m} \cdot a^{n} = a^{m + n}$ )
$= \frac{1}{7^{15}}$
Hence, the expression is $\frac{1}{7^{9}} \cdot \frac{1}{7^{6}} = \frac{1}{7^{15}}$ .

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Evaluate the expression.179·176

Evaluating the expression179·176=1·179·76=179+6 (Using exponent law am·an=am+n)=1715Hence, the expression is 179·176=1715 .

Evaluate the expression.
$\frac{1}{7^{9}} \cdot \frac{1}{7^{6}}$

Evaluating the expression
$\frac{1}{7^{9}} \cdot \frac{1}{7^{6}}$
$= \frac{1 \cdot 1}{7^{9} \cdot 7^{6}}$
$= \frac{1}{7^{9 + 6}}$ (Using exponent law $a^{m} \cdot a^{n} = a^{m + n}$ )
$= \frac{1}{7^{15}}$
Hence, the expression is $\frac{1}{7^{9}} \cdot \frac{1}{7^{6}} = \frac{1}{7^{15}}$ .