M1TB study guide (laws of exponents)

What value of n makes the equation $$8^n\ =\ 8^5\cdot8^4$$ true?

(a)  

What value of x makes the equation $$\left(a^2\cdot b^0\right)^3=a^x$$ true? Assume a and b are nonzero.

Which expression is equivalent to $$\frac{\left(16^3\right)^2}{16^3\cdot16^2}$$

Which expression is equivalent to $$9^6$$ ? Select all that apply.

Which expression is equivalent to $$3^4$$

What value of b makes the equation $$\left(\frac{6}{7}\right)^b=\frac{49}{36}$$ true?

Which expression is equivalent to $$10^4\cdot10^2\cdot\left(10^4\right)^2$$ ?

What value of s makes the equation $$7^{14}=\frac{7^8}{7^s}$$ true?

Which expression is equivalent to $$2^{-8}$$ ?