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Express the Following Rational Numbers with a Positive Exponent: 4 3 × 4 − 9 - Mathematics

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Question

Express the following rational numbers with a positive exponent:

\[4^3 \times 4^{- 9}\]
Short Note
Sum

Solution

\[4^3 \times 4^{- 9} \]
\[ = 4^\left( 3 - 9 \right) = 4^{- 6} \]
\[ = \left( \frac{1}{4} \right)^6\] → (am x an = am+n)

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Chapter 2: Powers - Exercise 2.2 [Page 19]

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RD Sharma Mathematics [English] Class 8
Chapter 2 Powers
Exercise 2.2 | Q 6.3 | Page 19

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