Question

Compare the ratio
(i) 7 : 6 and 24 : 9

Q2 Write it in an exponential form:
a ) 6 × a × a × a × b × b
b ) 8 × p × p × q × q × q

Answer 1

Questions:-

• Compare the given Ration.

• Write in an Exponential form.

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⠀⠀⠀⠀⠀⠀Compare the ratio

7 : 6 and 24 : 9

We know that if we have to compare the ratio's so, we have to Multiply both the ratio's with the second one ratio's Denominator.

$\frac{7}{6}$ and $\frac{24}{9}$

So, the denominator of $\frac{24}{9}$ is 9 so, we will Multiply $\frac{7}{6}$ by 9

$\frac{7 × 9 }{6 × 9}$ = $\frac{63}{45}$

Now, The denominator of $\frac{7}{6}$ is 6 so, we will Multiply $\frac{24}{9}$ by 6

$\frac{24 × 6}{ 9 × 6}$ = $\frac{144}{45}$

Hence, $\frac{24}{9}$ is bigger than $\frac{7}{6}$

$\frac{7}{6}$ < $\frac{24}{9}$

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⠀⠀⠀⠀Write in Exponential form:

a ) 6 × a × a × a × b × b = $\sf\purple{{6a}^{3} {b}^{2}}$

b ) 8 × p × p × q × q × q = $\sf\green{{8}^{2}{q}^{3}}$ .

What are Exponents?

• It is number or sometimes letter which is written above in the right side of the number known as it's Base and it Evaluated to the undeniable power of $x$

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Answer 2

The answer is

$\frac{7}{6}$ < $\frac{24}{9}$

2 nd answer

${6a}^{3} {b}^{2}$

${8p}^{2} {q}^{3}$