Evaluate the exponential expression - m 3- m 2- for m -3- -2 MARKS-

Concept: 1 Mark Application: 1 Mark ( m)^3 nbsp;× ( m)^2 m = 3 = ( 3)^3 nbsp;× ( 3)^2 = ( 27) × 9 = 243 Alternative: ( m)^3 nbsp;× ( m)^2 =( m)^3+2 ...

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Standard VIII

Mathematics

Powers with Negative Exponents

Evaluate the ...

Question

Evaluate the exponential expression $(- m)^{3} \times (- m)^{2}$ , for $m = 3$ . [2 MARKS]

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Solution

Concept: 1 Mark
Application: 1 Mark

$(- m)^{3} \times (- m)^{2}$
$m = 3$
$= (- 3)^{3} \times (- 3)^{2}$
$= (- 27) \times 9$
$= - 243$

Alternative:
$(- m)^{3} \times (- m)^{2}$
$= (- m)^{3 + 2} [∵ a^{m} \times a^{n} = a^{m + n}]$
$= (- m)^{5}$
$= (- 3)^{5} [s u b s t i t u t i n g m = - 3]$
$= - 243$

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