What is the result of multiplying \( (2^3) \times (2^2) \)?

What is the result of multiplying \( (2^3) \times (2^2) \)?

• A. 16
• B. 32
• C. 8
• D. 24

Answer: (B)

To solve the multiplication of \( (2^3) \times (2^2) \), you can use the property of exponents that states when multiplying two powers with the same base, you can add the exponents. In this case, you have the base 2. Starting with \( 2^3 \) and \( 2^2 \): - The exponent for \( 2^3 \) is 3. - The exponent for \( 2^2 \) is 2. According to the exponent multiplication rule, you simply add the exponents: \[ 2^3 \times 2^2 = 2^{3+2} = 2^5 \] Now, to find \( 2^5 \), you calculate: \[ 2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32 \] Thus, the result of multiplying \( (2^3) \times (2^2) \) is 32. This is why the correct answer is reflected as 32, which confirms the values calculated.

To solve the multiplication of ( (2^3) \times (2^2) ), you can use the property of exponents that states when multiplying two powers with the same base, you can add the exponents. In this case, you have the base 2.

Starting with ( 2^3 ) and ( 2^2 ):

• The exponent for ( 2^3 ) is 3.

• The exponent for ( 2^2 ) is 2.

According to the exponent multiplication rule, you simply add the exponents:

[

2^3 \times 2^2 = 2^{3+2} = 2^5

]

Now, to find ( 2^5 ), you calculate:

[

2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32

]

Thus, the result of multiplying ( (2^3) \times (2^2) ) is 32. This is why the correct answer is reflected as 32, which confirms the values calculated.