Answer:
C) [tex]\frac{4^{21}}{5^6}[/tex]
Step-by-step explanation:
[tex](\frac{4^7}{5^2})^3\\ \\\frac{(4^7)^3}{(5^2)^3}\\ \\\frac{4^{7*3}}{5^{2*3}}\\ \\\frac{4^{21}}{5^6}[/tex]
When you are raising a fraction to an exponent, you need to raise the numerator and denominator both by that exponent. Afterward, since you are raising an exponent to an exponent, you multiply the exponents.
Answer:
Third option
Step-by-step explanation:
You've made a major error:
You multiply the powers because of the law of indices:
[tex]\frac{4^{21} }{5^{6} }[/tex]
