Question

in power notation 243/32 can be expressed as​

Answer 1

Answer:

243/32 can be expressed as:

(3/2)^5

Answer 2

$\bf \red{ \frac{243}{32} = \left( { \frac{3}{2} } \right)^{5} }$

Given:

• $\frac{243}{32}$

To find:

• Write the given fraction in power notation.

Solution:

Step 1:

Write prime factors of both numbers.

$\frac{243}{32} = \frac{3 \times 3 \times 3 \times 3 \times 3}{2 \times 2 \times 2 \times 2 \times 2}$

or

$\frac{243}{32} = \frac{ {3}^{5} }{ {2}^{5} }$

Step 2:

Rewrite the expression to simplify.

We know that

$\bf \frac{ { {a}^{n} }}{ {b}^{n} } = \left({ \frac{a}{b} } \right)^{n}$

So,

$\frac{243}{32} = \left( { \frac{3}{2} } \right)^{5}$

Thus,

Power notation of given fraction is shown below:

$\bf \frac{243}{32} = \left( { \frac{3}{2} } \right)^{5}$

Learn more:

1) On Simplifying 8^3×2^4, we get. (a) 16^7 (b) 2^10 (c) 2 ^13 (d) 8^4

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2) if x/y= (3/2)²÷(5/7)⁰ find the value of ( y/ x )³

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