Hint: We know the law of exponents that is powers with same base: x^a÷x^b=x^a bStep 1: Given expression: 6^8÷6^6Step2: Solution:Form the above criteria of law o ...

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Standard IX

Mathematics

Powers with Positive and Negative Exponents

Evaluate: 68÷...

Question

Evaluate: $6^{8} \div 6^{6}$

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Solution

Hint: We know the law of exponents that is powers with same base: $x^{a} \div x^{b} = x^{a - b}$
Step 1: Given expression: $6^{8} \div 6^{6}$
Step2: Solution:
Form the above criteria of law of exponents:
$6^{8} \div 6^{6} = 6^{8 - 6 {U \sin g x^{a} \div x^{b} = x^{a - b}}}$
$= 6^{2} = 36$
$36$ , This is the required value.
Final Answer: $36$ , This is the required value.

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Evaluate: 68÷66

Hint: We know the law of exponents that is powers with same base: xa÷xb=xa-bStep 1: Given expression: 68÷66Step2: Solution:Form the above criteria of law of exponents:68÷66=68-6{Usingxa÷xb=xa-b}=62=3636, This is the required value.Final Answer: 36, This is the required value.

Evaluate: $6^{8} \div 6^{6}$