Answer:
[tex]2^7[/tex]Step-by-step explanation:
Multiplication of factors with same base and different exponents:
Keep the base, add the exponents.
[tex]x^a\ast x^b=x^{a+b}^{}[/tex]Division of factors with same base and different exponents:
Keep the base, subtract the exponents.
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]Power of power:
Keep the base, multiply the exponents:
[tex](x^a)^b=x^{a\ast b}[/tex]In this question:
[tex]\frac{4^3\ast2^4\ast2^3}{8^2\ast2^0}=\frac{(2^2)^3\ast2^4\ast2^3}{(2^3)^2}=\frac{2^6\ast2^4\ast2^3}{2^6}=2^4^{}\ast2^3=2^{4+3}=2^7[/tex]
