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Mama L [17]
2 years ago
5

What is 3^-2 in evaluate expression

Mathematics
1 answer:
My name is Ann [436]2 years ago
4 0

The evaluate expression of 3^{-2} is 1/9

<h3>What is exponents and powers?</h3>

Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times. Exponent is the number to which a number is raised so as to define its power as a whole expression.

Given: 3^{-2}

Now evaluate this we have to use

x^{-2}= 1/x²

So,

3^{-2} =1/3²

3^{-2} =1/9

Hence, the evaluate form is 1/9.

Learn more about exponents and power here:

brainly.com/question/15722035

#SPJ1

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butalik [34]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

{(a + b)}^{n}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

{x}^{5}  {y}^{5}

This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

10C_5(2)^{5}( - 3)^5

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Step-by-step explanation:

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