test yourself! practice tool\napply the laws of exponents to evaluate the expression.\n$\frac{(0.5)^{8}(0.5)^…
test yourself! practice tool\napply the laws of exponents to evaluate the expression.\n$\frac{(0.5)^{8}(0.5)^{-4}}{(0.5)^{2}}=square$
Answer
Explanation:
Step1: Use product - rule of exponents
When multiplying terms with the same base (a^m\times a^n=a^{m + n}), so ((0.5)^8\times(0.5)^{-4}=(0.5)^{8+( - 4)}=(0.5)^4).
Step2: Use quotient - rule of exponents
When dividing terms with the same base (\frac{a^m}{a^n}=a^{m - n}), so (\frac{(0.5)^4}{(0.5)^2}=(0.5)^{4 - 2}).
Step3: Calculate the result
((0.5)^{4 - 2}=(0.5)^2 = 0.25).
Answer:
(0.25)