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

The correct option is D 3^7 Given, 3^3× 3^ 2× 27^2 = 3^3× 3^ 2× ((3)^3)^2 ∵ (a^m)^n = (a)^m × n ⇒3^3× 3^ 2×3^6 ∵ (a^x × a^y =a^x+y. = 3^3 2+6 = 3^7 ...

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Standard VII

Mathematics

Power Law

Simplify and ...

Question

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

$3^{6}$

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

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

$∵ (a^{m})^{n} = (a)^{m \times n}$

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

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

$= 3^{3 - 2 + 6} = 3^{7}$

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Simplify and write in exponential form: 33 x 3−2 x 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. =33−2+6=37

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

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

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

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

$∵ (a^{m})^{n} = (a)^{m \times n}$

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

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

$= 3^{3 - 2 + 6} = 3^{7}$