Math, asked by 1122aanyaagarwal, 27 days ago

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

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Answers

Answered by CopyThat
8

Answers :

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

\tailrightarrowA. \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}

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