Question

(7^-3)^7

Answer 1

[AI-generated answer — Bot GPT 3.5]

(7^-3)^7 is equal to (1/7^3)^7.

To simplify this, we can use the property of exponents that states (a^m)^n is equal to a^(m*n).

Therefore, (1/7^3)^7 simplifies to 1/7^(3*7), which is equal to 1/7^21.

Answer 2

(7^-3)^7 Multiply your exponents first.

Answer 3

[AI-generated answer — Bot GPT 3.5]

Certainly! When multiplying exponents, we can use the property that states (a^m)^n is equal to a^(m*n).

Applying this property to (7^-3)^7, we can simplify it as follows:

(7^-3)^7 = 7^(-3*7)

Simplifying the exponent, we have:

7^(-3*7) = 7^(-21)

Thus, (7^-3)^7 is equal to 7^(-21).

Answer 4

-3*7

Answer 5

[AI-generated answer — Bot GPT 3.5]

-3*7 is equal to -21.

Answer 6

(7−3)^7 ⋅ 7^20/6^−2

Answer 7

[AI-generated answer — Bot GPT 3.5]

To simplify the expression (7−3)^7 ⋅ 7^20/6^−2, we can follow the order of operations.

First, let's simplify (7 - 3)^7:

(7 - 3)^7 = 4^7

Next, let's simplify 7^20:

7^20 = 7^(2 * 10) = (7^2)^10 = 49^10

Lastly, let's simplify 6^(-2):

6^(-2) = 1/6^2 = 1/36

Now we can rewrite the expression:

(7 - 3)^7 ⋅ 7^20/6^−2 = 4^7 ⋅ 49^10 / 1/36

To multiply the powers that have the same base, we add the exponents:
4^7 = 4^(1*7) = (4^1)^7 = 4^7

Similarly,
49^10 = 49^(1*10) = (49^1)^10 = 49^10

Now we can substitute these simplified bases back into the expression:

4^7 ⋅ 49^10 / 1/36 = 4^7 ⋅ 49^10 * 36/1

Finally, we can calculate the result:

4^7 = 16384
49^10 = 5,764,801,229,311,314,000,000,000
36/1 = 36

Therefore, the simplified expression is 16384 ⋅ 5,764,801,229,311,314,000,000,000 * 36.

Answer 8

nope

Answer 9

[AI-generated answer — Bot GPT 3.5]

I apologize for the incorrect response. Let's start again.

To simplify (7 - 3)^7 ⋅ 7^20/6^(-2), we can follow the order of operations.

First, let's simplify (7 - 3)^7:

(7 - 3)^7 = 4^7

Next, let's simplify 7^20:

7^20 = 7^(2 * 10) = (7^2)^10 = 49^10

Now, let's simplify 6^(-2):

6^(-2) = 1 / 6^2 = 1 / 36

Now, let's substitute these values back into the expression:

(7 - 3)^7 ⋅ 7^20 / 6^(-2) = 4^7 ⋅ 49^10 / 1/36

Now we can calculate the result:

4^7 = 16384
49^10 = 282,475,249
1/36 = 0.0277778

Therefore, the simplified expression is:

16384 ⋅ 282,475,249 / 0.0277778

After calculating this expression, we would get the final result.

Answer 10

no the answer is 36/7

Answer 11

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion. Let's simplify the expression again:

(7 - 3)^7 ⋅ 7^20 / 6^-2

First, let's simplify (7 - 3)^7:

4^7

Next, let's simplify 7^20:

7^20

Now let's simplify 6^-2:

1 / 6^2 = 1 / 36

Now substitute these simplified values back into the expression:

4^7 ⋅ 7^20 / (1 / 36)

To simplify further, let's remove the division by multiplying by the reciprocal:

4^7 ⋅ 7^20 * 36

To calculate the result, let's evaluate each term separately:

4^7 = 16384
7^20 = 79766443076872509863361
36

Multiplying these terms together, we get:

16384 ⋅ 79766443076872509863361 ⋅ 36

After calculating this expression, the simplified answer is obtained.

Answer 12

15⋅8^0/5+4(7^0−6)

Answer 13

[AI-generated answer — Bot GPT 3.5]

Let's simplify the expression step by step:

First, let's simplify the exponent 8^0. Any number (except 0) raised to the power of 0 is equal to 1.

8^0 = 1

Next, let's simplify the exponent 7^0. Similar to the above, any number (except 0) raised to the power of 0 is equal to 1.

7^0 = 1

Now, let's substitute these simplified values back into the expression:

15 ⋅ 8^0 / 5 + 4(1 - 6)

Next, we calculate the parentheses:

15 ⋅ 8^0 / 5 + 4(-5)

Now, let's continue evaluating the expression:

15 ⋅ 1 / 5 + 4 (-5)

15 / 5 + (-20)

Now, we can perform the division and addition/subtraction:

3 + (-20)

Finally, we can simplify:

3 - 20

And the final answer is:

-17

Answer 14

no its 12

Answer 15

[AI-generated answer — Bot GPT 3.5]

I apologize for the incorrect response.

Let's reassess the expression:

15⋅8^0/5 + 4(7^0−6)

First, let's simplify the exponents:

8^0 = 1

7^0 = 1

Now, we substitute these simplified values back into the expression:

15⋅1/5 + 4(1−6)

Next, let's simplify within parentheses:

15⋅1/5 + 4(-5)

Now, perform the multiplications and additions/subtractions:

15/5 + (-20)

3 + (-20)

Finally, we can simplify:

3 - 20

The final answer is indeed -17, not 12. Apologies for my previous incorrect response.

Answer 16

1*15

Answer 17

[AI-generated answer — Bot GPT 3.5]

1 multiplied by 15 is equal to 15.