Equivalent Expressions and Exponents

What is an equivalent expression for $$\left(2m^4\right)\left(5m^8\right)$$ ?

What is the result of $$\left(7x^3\right)^2\left(x^8\right)^{\frac{1}{2}}$$ ?

How do you calculate the area of a circle with radius $$6x^9y^5$$ ?

What is the equivalent expression for $$\left(x^{\frac{3}{7}}\right)^2$$ ?

What is the equivalent expression for $$\left(15a^0b^2c^{34}\right)\left(3a^{16}b^{-29}c^0\right)$$ ?

Define an equivalent expression in algebra.

What is the product of two powers with the same base?

What is the power of a power rule in exponents?

What is the zero exponent rule?

What is the negative exponent rule?