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Scilla [17]
3 years ago
14

How can you represent 100 as an exponential expression with 10 as the base

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Given:

The number of 100.

To find:

The given number as an exponential expression with 10 as the base.

Solution:

We have,

Given number = 100

It can be written as

100=10\times 10

100=10^{1+1}                   [\because a^m\cdot a^n=a^{m+n}]

100=10^2

Here, base is 10 and exponent is 2.

Therefore, the given number can be written as 10^2.

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Simplify the expression
yan [13]

cube root of 8 is 2

factors of 24= 2*2*2*3

cube root of 24 = 2∛3

Under cube root we have x and x⁵

so multiplying , x*x⁵ we have x⁶

∛x⁶ = x²

so we have ∛8x * ∛24x⁵ equal to 2*2*x²∛3

so answer is 4x² ∛3

option C is the correct answer

8 0
3 years ago
Read 2 more answers
Select all irrational numbers.
Maurinko [17]

Answer:

OPTION A

OPTION B

OPTION C

Step-by-step explanation:

Irrational numbers are the subset of real numbers. Their decimal representation neither form a pattern nor terminate.

OPTION A: $ \sqrt{\frac{1}{2}} $

This is equal to $ \frac{1}{\sqrt{2}} $.

$ \sqrt{2} = 1.414... $ is non-terminating. So, it is an irrational number. Hence, the reciprocal of an irrational number would also be irrational. So, OPTION A is irrational.

OPTION B: $ \sqrt{\frac{1}{8}} $

This is equal to $ \frac{1}{2\sqrt{2}} $. Using the same logic as Option A, we regard OPTION B to be irrational as well.

OPTION C: $ \sqrt{\frac{1}{10}} $

This is equal to $ \frac{1}{\sqrt{5}\sqrt{2}} $.

Both $ \sqrt{5} $ and $ \sqrt{2} $ are irrational. So, the product and the reciprocal of the product is irrational as well. So, OPTION C is an irrational number.

OPTION D: $ \sqrt{\frac{1}{16}} $

16 is a perfect square and is a rational number. $ \frac{1}{\sqrt{16}} $ = $ \frac{1}{4} $. This is equal to 0.25, a terminating decimal. So, OPTION D is a rational number.

OPTION E: $ \sqrt{\frac{1}{4}} $

4 is a perfect square as well. $ \frac{1}{\sqrt{4}} = \frac{1}{2} = 0.5 $, a terminating decimal. So, OPTION E is a rational number.

5 0
3 years ago
Pls help me out on this ill will give brainiest for the best answer
Svetach [21]

Answer:

Step-by-step explanation:

butt

7 0
2 years ago
A gift box has the shape of a cube with an edge length of 4.5 in.
BlackZzzverrR [31]
91.125 all you need to do is cube 4.5 or multiply 4.5 by itself 3 times so 4.5x4.5x4.5
8 0
3 years ago
Read 2 more answers
(b) The area of a rectangular pool is 5488 m\2 If the length of the pool is 98 m, what is its width?​
mrs_skeptik [129]

Answer:

56

Step-by-step explanation:

To find the area of a rectangle we have the foruma A=WxL.

But we already have the area and length so we can plug that in

5488=Wx98

Now its an algebreic expression.

SInce its multiplying we do the opposite, so we divide 98 on both sides.

98/98 crosses itself out so now its 5488/98. Which equals 56. So now our expression is W=56. To fact check we put the numbers 56 and 98 into the formula to see if we get 5488.

A=56x98

A=5488

7 0
1 year ago
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