Andhra Pradesh Board Solutions for Chapter: Exponents, Exercise 10: Exercise

If we multiplied $3^{-4}$ by $3^k$ so that the product is $729$, then find the value of $k$.

If $5^6\times 5^{2x}=5^{10}$, then find the value of $\mathrm{x}$.

Evaluate: $2^0+3^0$

Simplify ${\left(\frac{{\mathrm{x}}^{\mathrm{a}}}{{\mathrm{x}}^{\mathrm{b}}}\right)}^{\mathrm{a}}\times {\left(\frac{{\mathrm{x}}^{\mathrm{b}}}{{\mathrm{x}}^{\mathrm{a}}}\right)}^{\mathrm{a}}\times {\left(\frac{{\mathrm{x}}^{\mathrm{a}}}{{\mathrm{x}}^{\mathrm{a}}}\right)}^{\mathrm{b}}$.

State true or false and justify your answer: $4^3=8^2$

State true or false and justify your answer: $2^3>3^2$

State true or false and justify your answer: ${\left(-2\right)}^4>{\left(-3\right)}^4$

State true or false and justify your answer: ${\left(-2\right)}^5>{\left(-3\right)}^5$