Question

Evaluate $\frac{5^3\times 7^3\times 8^2\times t^3}{{10}^3\times {14}^3\times 5^0\times t^2}$

Answer 1

Solution :-

$\frac{5^3\times 7^3\times 8^2\times t^3}{{10}^3\times {14}^3\times 5^0\times t^2}$

$\Rightarrow \frac{5^3\times 7^3\times (2^3{)}^2\times t^3}{(5\times 2{)}^3\times (7\times 2{)}^3\times 5^0\times t^2}$

$\Rightarrow \frac{5^3\times 7^3\times 2^6\times t^2}{5^3\times 2^3\times 7^3\times 2^3\times 5^0\times t^2}$

$\Rightarrow 5^{3-3}\times 7^{3-3}\times 2^{6-(3+3)}\times t^{3-2}$

$\Rightarrow t$