Answer:
[tex](-5)^2\times(\frac{3}{5})^3=\frac{27}{5}[/tex]
Step-by-step explanation:
[tex](-5)^2\times(\frac{3}{5})^3[/tex]
Using , property of exponents,
[tex](ab)^x=a^x\times b^x[/tex]
=[tex](-1)^2\times(5)^2\times(\frac{3^3}{5^3})[/tex]
Using , property of exponents,
[tex]\frac{a^x}{a^y}=a^{x-y}[/tex]
=[tex](5)^{2-3}\times{3}^3[/tex]
=[tex](5)^{-1}\times{3}^3[/tex]
Using , property of exponents,
[tex]a^{-x}=\frac{1}{a^x}[/tex]
=[tex]\frac{3^3}{5}[/tex]
=[tex]\frac{3\times3\times3}{5}[/tex]
=[tex]\frac{27}{5}[/tex]
Thus, [tex](-5)^2\times(\frac{3}{5})^3=\frac{27}{5}[/tex]
