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Aleksandr [31]
3 years ago
8

Simplify this expression. 6^7 ÷ 6^5 A. 30 B. 35 C. 36 D. 42

Mathematics
2 answers:
bulgar [2K]3 years ago
6 0

Answer:

C 36

Step-by-step explanation:

When we have to exponents to the same base, and we are dividing them, we can subtract the exponents

a^b ÷ a^c = a^ (b-c)

6^7 ÷ 6^5 = 6^(7-5)

                 = 6^(2)

                = 36

Dima020 [189]3 years ago
3 0

ANSWER

C. 36

EXPLANATION

The given expression is

{6}^{7}  \div  {6}^{5}

Recall that,

{a}^{m}   \div  {a}^{n}  =  {a}^{ m - n}

We apply this property to get,

{6}^{7}\div  {6}^{5}  =  {6}^{7 - 5}

This will give us,

{6}^{7}\div  {6}^{5}  =  {6}^{2}

{6}^{7}\div  {6}^{5}= 36

The correct choice is C.

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(7a^3 -2a-2)+(-5a+3)
atroni [7]

Answer:

7a  3  −7a+1

Step-by-step explanation: I hope this help.

STEP

1

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Equation at the end of step 1

 ((7a3 -  2a) -  2) +  (3 - 5a)

STEP

2

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Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(a) = 7a3-7a+1

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  7  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,7

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00      

     -1       7        -0.14        1.98      

     1       1        1.00        1.00      

     1       7        0.14        0.02      

Polynomial Roots Calculator found no rational roots

Final result :

 7a3 - 7a + 1

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