Exponents Of Real Numbers - Rajasthan Board (RBSE) STD 9 MATHS Questions

Prove that:
$\Big(\frac{\text{x}^\text{a}}{\text{x}^\text{b}}\Big)^\text{c}\times\Big(\frac{\text{x}^\text{b}}{\text{x}^\text{c}}\Big)^\text{a}\times\Big(\frac{\text{x}^\text{c}}{\text{x}^\text{a}}\Big)^\text{b}=1$

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Q 112 Marks Questions2 Marks

Simplify the following:
$\frac{(4\times10^7)(6\times10^5)}{8\times10^4}$

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Q 122 Marks Questions2 Marks

Solve the following equations:
$3^{\text{x}-1}\times5^{2\text{y}-3}=225$

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Q 132 Marks Questions2 Marks

If $\text{x}=2^{\frac{1}{3}}+2^{\frac{2}{3}},$ show that $\text{x}^3-6\text{x}=6$

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Q 142 Marks Questions2 Marks

Simplify the following:
$\frac{5\times25^{\text{n}+1}-25\times5^{2\text{n}}}{5\times5^{2\text{n}+3}-(25)^{\text{n}+1}}$

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Q 152 Marks Questions2 Marks

Assuming that x, y, z are positive real numbers, simplify the following:
$\sqrt{\text{x}^{3}\text{y}^{-2}}$

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Q 163 Marks Question3 Marks

Simplify:
$\Big(\frac{\sqrt{2}}{5}\Big)^8\div\Big(\frac{\sqrt{2}}{5}\Big)^{13}$

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Q 173 Marks Question3 Marks

Prove that:
$\Big(\frac{64}{125}\Big)^{-\frac{2}{3}}+\frac{1}{\Big(\frac{256}{625}\Big)^\frac{1}{4}}+\Big(\frac{\sqrt{25}}{\sqrt[3]{64}}\Big)^0=\frac{61}{16}$

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Q 183 Marks Question3 Marks

If $3^{4\text{x}}=(81)^{-1}$ and $10^{\frac{1}{\text{y}}}0.0001,$ find the value of $2^{-\text{x}+4\text{y}}.$

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Q 193 Marks Question3 Marks

State the product law of exponents.

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Q 203 Marks Question3 Marks

Prove that:
$\sqrt{\frac{1}{4}}+(0.01)^{-\frac{1}{2}}-(27)^{\frac{2}{3}}=\frac{3}{2}$

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Q 214 Marks Questions4 Marks

Prove that:
$\Big(\frac{1}{4}\Big)^{-2}-3\times8^{\frac{2}{3}}\times4^0+\Big(\frac{9}{16}\Big)^{-\frac{1}{2}}=\frac{16}{3}$

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Q 224 Marks Questions4 Marks

Solve the following equations:
$8^{\text{x}+1}=16^{\text{y}+2}$ and $\Big(\frac{1}{2}\Big)^{3+\text{x}}=\Big(\frac{1}{4}\Big)^{3\text{y}}$

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Q 234 Marks Questions4 Marks

For any positive real number x, find the value of $\Big(\frac{\text{x}^{\text{a}}}{\text{x}^{\text{b}}}\Big)^{\text{a}+\text{b}}\times\Big(\frac{\text{x}^{\text{b}}}{\text{x}^{\text{c}}}\Big)^{\text{b}+\text{c}}\times\Big(\frac{\text{x}^{\text{c}}}{\text{x}^{\text{a}}}\Big)^{\text{c}+\text{a}}$

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Q 244 Marks Questions4 Marks

Simplify $\Big[\Big\{(625)^{\frac{1}{2}}\Big\}^{-\frac{1}{4}}\Big]^2$

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Q 254 Marks Questions4 Marks

For any positive real number x, write the value of $\big\{(\text{x}^\text{a})^\text{b}\big\}^{\frac{1}{\text{ab}}}\big\{(\text{x}^\text{b})^\text{c}\big\}^{\frac{1}{\text{bc}}}\big\{(\text{x}^\text{c})\text{a}\big\}^{\frac{1}{\text{ca}}}$

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Exponents Of Real Numbers question types

Exponents Of Real Numbers questions

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Exponents Of Real Numbers MATHS - Exponents Of Real Numbers

Exponents Of Real Numbers question types

Exponents Of Real Numbers questions

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