Product Rule of Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Use the Product Rule of Exponents to simplify the expression 24 ⋅22.(1 point)
To simplify 24 ⋅ 22 using the Product Rule of Exponents, we add the exponents:
24 ⋅ 22 = (2^4) ⋅ (2^2)
Using the Product Rule of Exponents, we add the exponents:
= 2^(4+2)
= 2^6
Therefore, 24 ⋅ 22 simplifies to 2^6.
To simplify the expression 24 ⋅ 22 using the Product Rule of Exponents, we need to add the exponents since the bases are the same.
The Product Rule of Exponents states: am ⋅ an = am+n
In this case, we have:
24 ⋅ 22 = 2^4 ⋅ 2^2
To apply the Product Rule, we add the exponents:
2^4 + 2^2 = 2^(4+2)
Simplifying further:
2^4 + 2^2 = 2^6
Therefore, the simplified expression is 2^6.
To simplify the expression 24 ⋅ 22 using the Product Rule of Exponents, you need to apply the rule which states that when multiplying two numbers with the same base, you add the exponents.
In this case, the base is 2. The first number, 24, can be written as 2^4, since 24 is equal to 2 × 2 × 2 × 2. Similarly, the second number, 22, can be written as 2^2, since 22 is equal to 2 × 2.
Now, using the Product Rule of Exponents, we add the exponents:
2^4 ⋅ 2^2
To simplify this expression, we add the exponents and keep the base:
2^(4+2)
2^6
Therefore, 24 ⋅ 22 simplifies to 2^6 or simply 64.