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(256)0.16 × (256)0.09 - Mathematics

MCQ

(256)0.16 × (256)0.09

Options

  • 4

  • 16

  • 64

  • 256.25

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Solution

We have to find the value of  `(256)^0.16  xx (256)^0.09`So,

By using law of rational exponents

   `a^m xx a^n = a^(m+n)` we get

 `(256)^0.16  xx (256)^0.09  =   (256)^0.16  xx (256)^0.09`

                                               =`(256)^(0.16+0.09)`

                                               = `256^(0.25)`

                                               =`(256)^(25/100)`

`(256)^0.16  xx (256)^0.09           = 2^(8 xx 25/100)`

                                           = `2^(8 xx 25/100)`

                                         `  =  2^(8 xx 1/4)`

                                         `  =  2^(8 xx 1/4)`

                                            =  4

The value of  `(256)^0.16  xx (256)^0.09 `is 4

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Q 22 | Page 31
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