simplify 4^-4 * 4^8

Answer 1

To simplify 4^-4 * 4^8, we can combine the like bases and add the exponents.

4^-4 * 4^8 = 4^(8-4) = 4^4 = 256

So, 4^-4 * 4^8 simplifies to 256.

Answer 2

simplify 4^-4 * 4^8 in exponential form

Answer 3

To simplify 4^-4 * 4^8 in exponential form, we can rewrite 4^-4 and 4^8 using positive exponents:

4^-4 * 4^8 = (1/4^4) * 4^8

To multiply with the same base, we add the exponents:

(1/4^4) * 4^8 = 4^(8-4) = 4^4

So, 4^-4 * 4^8 in exponential form is 4^4.

Answer 4

simplify 3^18 *3^-9 in exponential form

Answer 5

To simplify 3^18 * 3^-9 in exponential form, we can combine the like bases and add the exponents:

3^18 * 3^-9 = 3^(18 + (-9))

Simplifying the exponent, we have:

3^(18 + (-9)) = 3^9

So, 3^18 * 3^-9 in exponential form is 3^9.

Answer 6

simplify 4^11/4^-9 in exponential form

Answer 7

To simplify 4^11/4^-9 in exponential form, we can convert the division to multiplication and combine the like bases:

4^11/4^-9 = 4^(11 - (-9))

Simplifying the exponent, we have:

4^(11 - (-9)) = 4^(11 + 9)

So, 4^11/4^-9 in exponential form is 4^(11 + 9).

Answer 8

r u sure?

Answer 9

Apologies for the confusion. Let's correct it.

To simplify 4^11/4^-9 in exponential form, we can use the quotient rule of exponents, which states that a^m / a^n = a^(m-n).

Applying this rule to the given expression, we have:

4^11/4^-9 = 4^(11-(-9))

Simplifying the exponent, we have:

4^(11-(-9)) = 4^(11+9) = 4^20

So, 4^11/4^-9 in exponential form is 4^20.

Answer 10

simplify 6^10/6 in exponential form

Answer 11

To simplify 6^10/6 in exponential form, we can write it as:

6^10/6 = 6^(10-1) = 6^9

So, the simplified version in exponential form is 6^9.

Answer 12

simplify (2^-5)^-5 in exponential form

Answer 13

To simplify (2^-5)^-5 in exponential form, we can apply the power rule of exponents, which states that (a^m)^n = a^(m*n).

Using this rule, we have:

(2^-5)^-5 = 2^(-5*-5) = 2^25

So, (2^-5)^-5 in exponential form is 2^25.

Answer 14

simplify (y^-5)^-6

Answer 15

To simplify (y^-5)^-6, we can apply the power rule of exponents, which states that (a^m)^n = a^(m*n).

Using this rule, we have:

(y^-5)^-6 = y^((-5)*(-6)) = y^30

So, (y^-5)^-6 in exponential form is y^30.

Answer 16

simplify (4^6)^3 in exponential form

Answer 17

To simplify (4^6)^3 in exponential form, we can apply the power rule of exponents, which states that (a^m)^n = a^(m*n).

Using this rule, we have:

(4^6)^3 = 4^(6*3) = 4^18

So, (4^6)^3 in exponential form is 4^18.

Answer 18

fully simplify 9^-2 * 9 * 9^-3 in exponential form

Answer 19

To fully simplify 9^-2 * 9 * 9^-3 in exponential form, we can combine the like bases and add the exponents:

9^-2 * 9 * 9^-3 = 9^(-2 + 1 + (-3))

Simplifying the exponents, we have:

9^(-2 + 1 + (-3)) = 9^(-4)

So, 9^-2 * 9 * 9^-3 in exponential form is 9^(-4).

Answer 20

fully simplify 1/6 * 1/6 * 1/6 * 1/6 in exponential form

Answer 21

To fully simplify 1/6 * 1/6 * 1/6 * 1/6 in exponential form, we can write it as:

(1/6)^4

So, in exponential form, the fully simplified expression is (1/6)^4.

Answer 22

wrong

Answer 23

Apologies for the mistake. Let's correct it.

To fully simplify 1/6 * 1/6 * 1/6 * 1/6 in exponential form, we can write it as:

(1/6)^4 = 1^4 / 6^4 = 1/1296

So, in exponential form, the fully simplified expression is 1/1296.

Answer 24

wrong.

Answer 25

Apologies for the incorrect response. Let's try again.

To fully simplify 1/6 * 1/6 * 1/6 * 1/6 in exponential form, we can write it as:

(1/6)^4 = (6^-1)^4 = 6^(-1*4) = 6^-4

So, in exponential form, the fully simplified expression is 6^-4.

Answer 26

fully simplify (2^2 * 2^-6)^-3 * 2^0

Answer 27

To fully simplify (2^2 * 2^-6)^-3 * 2^0 in exponential form, let's break it down step by step.

First, we simplify the expression inside the parentheses:

2^2 * 2^-6 = 2^(2 - 6)
= 2^-4

Now we substitute this simplified expression back into the original expression:

(2^-4)^-3 * 2^0 = 2^(-4 * -3) * 1
= 2^12

So, in exponential form, the fully simplified expression is 2^12.