A Math Test On Exponents! Trivia Quiz

The given equation shows that 45 can be expressed as the product of four 4's. This can be calculated as 4 x 4 x 4 x 4 x 4, which equals 45. Therefore, the statement is true.

The given equation states that 7 raised to the power of 4 multiplied by 2 raised to the power of 3 is equal to 23 multiplied by 73. However, this is not true. The left side of the equation simplifies to 2401 multiplied by 8, which equals 19208. On the other hand, 23 multiplied by 73 equals 1679. Since these two values are not equal, the statement is false.

The given equation is 2 x 2 x 2 x 5 x 5 x 5 = 23 x 52. However, this is not true. The left side of the equation represents the product of 2 raised to the power of 3 (2 x 2 x 2) and 5 raised to the power of 3 (5 x 5 x 5). This can be simplified as 2^3 x 5^3. On the right side of the equation, 23 represents the product of 2 raised to the power of 3 (2 x 2 x 2) and 5 raised to the power of 2 (5 x 5). Similarly, 52 represents the product of 5 raised to the power of 2 (5 x 5) and 2 raised to the power of 3 (2 x 2 x 2). Therefore, the equation is not true.

The expression 5^2 + 3 can be calculated as follows:

First, calculate 5^2 (which means 5 raised to the power of 2):

5^2 = 5 × 5 = 25

Then, add 3 to the result:

25 + 3 = 28

So, 5^2 + 3 = 28.

The expression 6^2 + 4 can be calculated as follows:

First, calculate 6^2 (which means 6 raised to the power of 2):

6^2 = 6 × 6 = 36

Then, add 4 to the result:

36 + 4 = 40

So, 6^2 + 4 = 40.

The expression 2 + 4^2 can be calculated as follows:

First, calculate 4^2 (which means 4 raised to the power of 2):

4^2 = 4 × 4 = 16

Then, add 2 to the result:

2 + 16 = 18

So, 2 + 4^2 = 18.

The expression 7^2 + 1 can be calculated as follows:

First, calculate 7^2 (which means 7 raised to the power of 2):

7^2 = 7 × 7 = 49

Then, add 1 to the result:

49 + 1 = 50

So, 7^2 + 1 = 50.

The expression 2^4 + 5 can be calculated as follows:

First, calculate 2^4 (which means 2 raised to the power of 4):

2^4 = 2 × 2 × 2 × 2 = 16

Then, add 5 to the result:

16 + 5 = 21

So, 2^4 + 5 = 21.

The expression 10^3 - 400 can be calculated as follows:

First, calculate 10^3 (which means 10 raised to the power of 3):

10^3 = 10 × 10 × 10 = 1000

Then, subtract 400 from the result:

1000 - 400 = 600

So, 10^3 - 400 = 600.

The expression 3^3 - 7 can be calculated as follows:

First, calculate 3^3 (which means 3 raised to the power of 3):

3^3 = 3 × 3 × 3 = 27

Then, subtract 7 from the result:

27 - 7 = 20

So, 3^3 - 7 = 20.

The number 1 is neither prime nor composite because it only has one factor, which is itself. Prime numbers have exactly two factors (1 and the number itself) and composite numbers have more than two factors. Since 1 does not meet either of these criteria, it is considered neither prime nor composite.

A square number is the product of a number multiplied by itself. In this case, 100 is the only number that can be obtained by multiplying a number by itself (10 x 10 = 100), making it the square number among the options provided.

16 is the square number among the given options because it is the only number that can be expressed as the product of two equal factors (4 x 4). A square number is a number that can be formed by multiplying an integer by itself, and in this case, 16 is the only number that satisfies this condition.

A composite number is a positive integer greater than 1 that has at least one positive divisor other than 1 and itself. In this case, the number 15 is composite because it can be divided evenly by 3 and 5, in addition to 1 and 15.

47 is the correct answer because it is the only number among the given options that is prime. A prime number is a number that is only divisible by 1 and itself, and 47 satisfies this condition. 14, 51, and 27 are all divisible by numbers other than 1 and themselves, making them not prime.