7^{5} div 7^{3} div 7^{2} times 7^{4} times f | vedclass

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Question

(A) Given expression: $7^{5} \div 7^{3} \div 7^{2} 	imes 7^{4} 	imes \frac{1}{7^{3}} = 7^{?}$Using the laws of exponents,$a^{m} \div a^{n} = a^{m-n}

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) Given expression: $7^{5} \div 7^{3} \div 7^{2} 	imes 7^{4} 	imes \frac{1}{7^{3}} = 7^{?}$Using the laws of exponents,$a^{m} \div a^{n} = a^{m-n}$ and $a^{m} 	imes a^{n} = a^{m+n}$.Also,$\frac{1}{7^{3}} = 7^{-3}$.Substituting these into the expression:$7^{5-3-2+4-3} = 7^{?}$Calculating the exponent: $5 - 3 - 2 + 4 - 3 = 1$.Therefore,$7^{1} = 7^{?}$.Comparing the exponents,the value of $?$ is $1$.

$7^{5} \div 7^{3} \div 7^{2} \times 7^{4} \times \frac{1}{7^{3}} = 7^{?}$

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