Question

please tell if you know any of the answer
I will mark brainlist​

Answer 1

Answers :

1. $\bold{2^5\times2^8}$

$\tailrightarrow$A. $\bold{2^5^+^8}$ $\bold{=2^1^3}$

Multiplication rule:

$\bold{{a}^{x}\times {a}^{y}={a}^{x + y}}$

2. $\bold{(\frac{1}{3})^6 \times (\frac{1}{3})^9 }$

A. $\bold{(\frac{1}{3})^6^+^9 = (\frac{1}{3})^1^5=\frac{1^1^5}{3^1^5} }$

Multiplication rule:

$\bold{{a}^{x}\times {a}^{y}={a}^{x + y}}$

Power of fraction rule:

$\bold{(\frac{x}{y})^a=\frac{x^a}{y^a} }$

3. $\bold{\frac{5^1^7}{5^1^3} }$

A. $\bold{5^1^7-5^1^3=5^4}$

Division rule:

$\bold{\frac{x^a}{x^b} = x^a^-^b}$

4. $\bold{7^-^2^0}$

A. $\bold{(\frac{1}{7})^2^0=\frac{1^2^0}{7^2^0} }$

Negative exponent:

$\bold{a^-^x=\frac{1}{a^x} }$

Power of fraction rule:

$\bold{(\frac{x}{y})^a=\frac{x^a}{y^a} }$

5. $\bold{(\frac{3}{4})^1^5 }$ ÷ $\bold{(\frac{3}{4})^1^9 }$

A. $\bold{(\frac{3}{4})^1^5^-^1^9 = (\frac{3}{4})^-^4 = (\frac{4}{3})^4 }$

Division rule:

$\bold{\frac{x^a}{x^b} = x^a^-^b}$

Negative exponent:

$\bold{a^-^x=\frac{1}{a^x} }$

6. $\bold{(2^3)^6}$

A. $\bold{2^3^\times ^6=2^9}$

Power of a power rule:

$\bold{(a^x)^y=a^x^y}$

7. $\bold{[(\frac{5}{4})^3]^4 }$

A. $\bold{(\frac{5}{4})^3^\times ^4 }$ $\bold{=(\frac{5}{4})^1^2=\frac{5^1^2}{4^1^2} }$

Power of a power rule:

$\bold{(a^x)^y=a^x^y}$

Power of fraction rule:

$\bold{(\frac{x}{y})^a=\frac{x^a}{y^a} }$

8. $\bold{2^0+3^0+4^0}$

A. $\bold{1+1+1=3}$

Zero exponent:

$\bold{a^0=1}$

9. $\bold{(\frac{-3}{5})^-^5 }$

A. $\bold{(\frac{-5}{3})^5 }$ $\bold{=\frac{-5^5}{3^5} }$

Negative exponent:

$\bold{a^-^x=\frac{1}{a^x} }$

Power of fraction rule:

$\bold{(\frac{x}{y})^a=\frac{x^a}{y^a} }$

10. $\bold{3^0\times2^0\times5^0}$

A. $\bold{1\times1\times1=1}$

Zero exponent:

$\bold{a^0=1}$