Simplify and write in exponential form-33- 3-2- 272

The correct option is B 3^7 nbsp; Given, 3^3× 3^ 2× 27^2 = 3^3× 3^ 2× ((3)^3)^2 ∵ (a^m)^n=(a)^m × n ⇒ nbsp;3^3 nbsp; nbsp;× 3^ 2 nbsp; nbsp;×3^6 ∵ ...

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Standard VII

Mathematics

Product Law of Exponent

Simplify and ...

Question

Simplify and write in exponential form:
$3^{3} \times 3^{- 2} \times 27^{2}$

$3^{6}$

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$3^{5}$

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$3^{7}$

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$3^{3}$

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Solution

The correct option is C
$3^{7}$

Given, $3^{3} \times 3^{- 2} \times 27^{2}$

$= 3^{3} \times 3^{- 2} \times {((3)^{3})}^{2}$

$∵ (a^{m})^{n} = (a)^{m \times n}$

$\Rightarrow 3^{3} \times 3^{- 2} \times 3^{6}$

$∵ (a^{x} \times$ $a^{y} = a^{x + y})$

$\Rightarrow 3^{(3 - 2 + 6)} = 3^{7}$

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Simplify and write in exponential form: 33×3−2×272

The correct option is C 37 Given, 33×3−2×272 =33× 3−2× ((3)3)2 ∵(am)n=(a)m×n ⇒33×3−2×36 ∵(ax× ay=ax+y) ⇒3(3−2+6)=37

Simplify and write in exponential form:
$3^{3} \times 3^{- 2} \times 27^{2}$

The correct option is C
$3^{7}$

Given, $3^{3} \times 3^{- 2} \times 27^{2}$

$= 3^{3} \times 3^{- 2} \times {((3)^{3})}^{2}$

$∵ (a^{m})^{n} = (a)^{m \times n}$

$\Rightarrow 3^{3} \times 3^{- 2} \times 3^{6}$

$∵ (a^{x} \times$ $a^{y} = a^{x + y})$

$\Rightarrow 3^{(3 - 2 + 6)} = 3^{7}$