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Exponents and Powers

Short Answer Type

31.

Find 'm' so that $left parenthesis negative 3 right parenthesis to the power of straight m plus 1 end exponent space cross times space left parenthesis negative 3 right parenthesis to the power of 5 space equals space left parenthesis negative 3 right parenthesis to the power of 7.$

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32.

Find the value of $open parentheses 2 over 3 close parentheses to the power of negative 2 end exponent$

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33.

Simplify:

(i) $open parentheses 5 over 8 close parentheses to the power of negative 7 end exponent space cross times space open parentheses 8 over 5 close parentheses to the power of negative 5 end exponent$ (ii) $open curly brackets open parentheses 1 third close parentheses to the power of negative 2 end exponent minus open parentheses 1 half close parentheses minus 3 over 4 close curly brackets divided by open parentheses 1 fourth close parentheses to the power of negative 2 end exponent$

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34.

Write the following number in standard form.

0.000000564

391 Views

35.

Write the following number in standard form.

0.0000021

448 Views

36.

Write the following numbers in standard form.

21600000

335 Views

37.

Write the following number in standard form.

15240000

249 Views

38.
Write all the facts given in the standard form.

A number is said to be in the standard form when it is written as k x 10ⁿ, where

$1 less or equal than straight k less or equal than 10$

and 'n' is an integer.

A number expressed as the product of a number 1 and 10 and an integral power of 10.