advanced formulas

Question 1

What is the power of a number?

Answer 1

The power of a number is the result of multiplying that number by itself a certain number of times.

Question 2

What is the base in an expression like 2^3?

Answer 2

The base is the number that is being multiplied, which is 2 in this case.

Question 3

What is the exponent in an expression like 2^3?

Answer 3

The exponent indicates how many times the base is multiplied by itself, which is 3 in this case.

Question 4

What is 5^0?

Answer 4

5^0 equals 1.

Question 5

True or False: Any non-zero number raised to the power of 1 is itself.

Answer 5

True.

Question 6

What is the result of 10^2?

Answer 6

The result of 10^2 is 100.

Question 7

Fill in the blank: The expression 3^4 means ___ multiplied by itself 4 times.

Answer 7

3

Question 8

What is the value of (-2)^3?

Answer 8

-8.

Question 9

What is the product of powers rule?

Answer 9

The product of powers rule states that a^m * a^n = a^(m+n).

Question 10

What is the power of a power rule?

Answer 10

The power of a power rule states that (a^m)^n = a^(m*n).

Question 11

If a = 2 and b = 3, what is a^b?

Answer 11

2^3 = 8.

Question 12

What is 4^1/2?

Answer 12

4^1/2 equals 2.

Question 13

True or False: 7^3 is greater than 7^2.

Answer 13

True.

Question 14

What is the value of 2^5?

Answer 14

The value of 2^5 is 32.

Question 15

Fill in the blank: 10^(-1) is equal to ___ .

Answer 15

0.1.

Question 16

What is the quotient of powers rule?

Answer 16

The quotient of powers rule states that a^m / a^n = a^(m-n).

Question 17

What is 8^(1/3)?

Answer 17

8^(1/3) equals 2.

Question 18

What is the result of 3^2 * 3^3?

Answer 18

The result is 3^(2+3) = 3^5 = 243.

Question 19

If x = 4, what is x^3?

Answer 19

x^3 = 4^3 = 64.

Question 20

What does it mean to raise a number to a negative exponent?

Answer 20

Raising a number to a negative exponent means taking the reciprocal of the base raised to the positive exponent.

Question 21

What is the value of 2^(-3)?

Answer 21

The value of 2^(-3) is 1/8.

Question 22

True or False: The expression 5^2 is equal to 25.

Answer 22

True.

Question 23

What is 6^2 + 6^2?

Answer 23

6^2 + 6^2 = 36 + 36 = 72.

Question 24

What is the value of 1^100?

Answer 24

1^100 equals 1.

Question 25

Fill in the blank: The expression 2^x represents ___ where x is any real number.

Answer 25

an exponential function.