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dexar [7]
3 years ago
5

Rewrite a^5 x a^-3 in the form a^n

Mathematics
2 answers:
Westkost [7]3 years ago
5 0

Answer:

The answer is A^2

Step-by-step explanation:

When you are dividing, You subtract exponents if they have the same base.

The base (variables) are the same. So you subtract the powers.

Which are 5 and -3. You subtract those two powers 5 minus negative -3 which gives you 2.  So it's  a^-2

Sorry for the long explanation I hope you understand it. And if I made it harder to understand the answer sorry oops have a good day and stay safe ;D.

kondor19780726 [428]3 years ago
4 0
A^2
When same bases are multiplied their powers are added
a^(5 + (-3)) = a^2
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Step-by-step explanation:

add 36 and 4 and multiply that by 6

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John's sister went shopping with him. She expected to spend $100 on clothes, but spent only $10. John wanted to help her calcula
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3 years ago
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What is (5^-9×5^-2 ÷ 5^-13)^ |7-9| × (5^3 × 5^-5) = ???????
makkiz [27]
The answer is:  "  5⁻ ⁵⁰  " .
__________________________________________
Note that:  |7-9| = <span>| -2 |  =  2 .
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Note:  5</span>³ * 5⁻⁵ = 5⁽ ⁽³⁾ ⁺ ⁽⁻⁵⁾ ⁾ = 5⁽³ ⁻ ⁵⁾ = 5⁻²  ; 
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Note:  (5⁻⁹ * 5⁻² ÷ 5⁻¹³) = (5⁻⁹ * 5⁻²) ÷ 5⁻¹³ ; 

    → (5⁻⁹ * 5⁻²) = 5⁽⁻⁹⁾ ⁺ ⁽⁻²⁾ = 5 ⁽⁻⁹ ⁻ ²⁾ = 5 ⁻¹¹ ;

          →5 ⁻¹¹ ÷ 5⁻¹³  =  5 ⁽⁻¹¹⁾ ⁺ ⁽⁻¹³⁾  = 5⁽⁻¹¹ ⁻ ¹³⁾ = 5⁽⁻²⁴⁾ 
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→ [ 5⁽⁻²⁴⁾ ] ²  = 5⁽⁻²⁴ * ²⁾  = 5⁽⁻⁴⁸⁾ ;
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  Now, rewrite the entire problem; and solve:
 
 →      5⁽⁻⁴⁸⁾  * 5⁻²  =  5⁽⁻⁴⁸⁾ ⁺ ⁽⁻²⁾  =  5⁽⁻⁴⁸⁻²⁾ ; 

                                                   =  5⁻ ⁵⁰ .
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5 0
3 years ago
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zzz [600]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
A recipe for chilie uses 2 1/3 cups of beans. Keith is making 1 1/2 times the recipe. Which equation helps keith find how many c
yuradex [85]

Answer:

2\frac{1}{3} * 1\frac{1}{2} = 3\frac{1}{2}

Step-by-step explanation:

Given that a recipe of chilie requires 2\frac{1}{3} cups of beans, to make 1\frac{1}{2} times the recipe, Keith would need x cups of beans.

Thus:

1 recipe = 2\frac{1}{3} cups of beans

1\frac{1}{2} of the recipe = x cups of beans

x*1 = 2\frac{1}{3} * 1\frac{1}{2}

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x = \frac{7}{2}

x = 3\frac{1}{2}

Therefore the equation that helps Keith find how many cups of beans he needs is: 2\frac{1}{3} * 1\frac{1}{2} = 3\frac{1}{2}

6 0
3 years ago
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