Tag: power and exponent
Questions Related to power and exponent
Simplify the following using law of exponents.
$(-6^4)^4$
The value of $\left (\dfrac {a^{-2} \times b^{-3}}{a^{-3}\times b^{-4}}\right )$ is _________.
If $(\sqrt{2})^x + (\sqrt{3})^x = (\sqrt{13})^{\frac{x}{2}}$, then the value of $x$ is ___.
If $a^2bc^3=5^3$ and $ab^2=5^6$, then $abc$ equals ___.
The value of $x$, if $5^{x-3}.3^{2x-a} = 225$ is ____.
The rationalising factor of $\sqrt[5]{a^2b^3c^4}$ is _____.
$\left(\dfrac{5^a}{5^b}\right)^{a+b}.\left(\dfrac{5^b}{5^c}\right)^{b+c}.\left(\dfrac{5^c}{5^a}\right)^{c+a} =$
Comparing the numbers $10^{-49}$ and 2. $10^{-50}$ we may say
If ${2^a} = 3$ and ${9^b} = 4$ then the value of $a.b$ is
whether the following relation is${{ \frac{1}{{{x^{a - b}}}}} ^{\frac{1}{{a - c}}}}{{ \frac{1}{{{x^{b - c}}}}} ^{\frac{1}{{b - a}}}}{{ \frac{1}{{{x^{c - a}}}}} ^{^{\frac{1}{{c - b}}}}} = 1$