Question

A=(0.99)² ×(0.99)³ and B=(0.99)6 which is greater

Answer 1

Answer:

B

Step-by-step explanation:

A= 0.99^2 × 0.99^3 = 0.95099...

B=0.99×6 = 5.94

so B is greater

Answer 2

A is greater

Step-by-step explanation:

Given,

A = (0.99)² ×(0.99)³

Using product rule of exponent i.e. $a^m.a^n = a^{m+n}$

We get,

$A=(0.99)^{2+3}$

$A=(0.99)^{5}$

We have,

$B=(0.99)^6$

Now, if a positive number is less than 1,

Then the number with smaller exponent is greater.

Example : (0.5)² > (0.5)³ where 0.5 < 1.

Hence,

$(0.99)^5>(0.99)^6$

⇒ A > B

#Learn more:

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