Simplify the following- -2 7 - -2 3 - -2 4

The correct option is A ( 2)^14 we know, a^m*a^n=a^m+n #160; a^m*a^n*a^p=a^m+n+p so, ( 2) ^ 7 × ( 2) ^ 3 × ( 2) ^ 4 =( 2)^7+3+4 ...

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Byju's Answer

Standard VII

Mathematics

Exponents with Like Bases

Simplify the ...

Question

Simplify the following:
${(- 2)}^{7} \times {(- 2)}^{3} \times {(- 2)}^{4}$

{(- 2)}^{14}

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{(- 2)}^{24}

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{(- 2)}^{54}

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None of these

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Solution

The correct option is A ${(- 2)}^{14}$
we know,

$a^{m} * a^{n} = a^{m + n}$

$⟹$ $a^{m} * a^{n} * a^{p} = a^{m + n + p}$
so,

${(- 2)}^{7} \times {(- 2)}^{3} \times {(- 2)}^{4}$

$= (- 2)^{7 + 3 + 4}$

$= (- 2)^{14}$

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Similar questions

Simplify:
(i) $\frac{2}{3} + \frac{5}{6} - \frac{1}{9}$
(ii) $8 - 4 \frac{1}{2} - 2 \frac{1}{4}$
(iii) $8 \frac{5}{6} - 3 \frac{3}{8} + 1 \frac{7}{12}$

Q. The zeros of the polynomial

7 x^{2} - \frac{11}{3} x - \frac{2}{3}

are
(a)

\frac{2}{3}, \frac{- 1}{7}

(b)

\frac{2}{7}, \frac{- 1}{3}

(c)

\frac{- 2}{3}, \frac{1}{7}

(d) none of these

3 \frac{3}{4} - 2 \frac{1}{4} = ?

(a)

1 \frac{1}{2}

(b)

1 \frac{1}{4}

(c)

\frac{1}{4}

(d) none of these

Q. Simplify:

\frac{(- 2)^{3} \times (- 2)^{7}}{3 \times 4^{6}}

Q. Simplify

\frac{(- 2)^{3} \times (- 2)^{7}}{3 \times 4^{6}} .

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Simplify the following:(−2)7×(−2)3×(−2)4

The correct option is A (−2)14we know,am∗an=am+n⟹ am∗an∗ap=am+n+pso,(−2)7×(−2)3×(−2)4=(−2)7+3+4=(−2)14

Simplify the following:
${(- 2)}^{7} \times {(- 2)}^{3} \times {(- 2)}^{4}$

The correct option is A ${(- 2)}^{14}$
we know,

$a^{m} * a^{n} = a^{m + n}$

$⟹$ $a^{m} * a^{n} * a^{p} = a^{m + n + p}$
so,

${(- 2)}^{7} \times {(- 2)}^{3} \times {(- 2)}^{4}$

$= (- 2)^{7 + 3 + 4}$

$= (- 2)^{14}$