Product Rule of Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Use the Product Rule of Exponents to simplify the expression 3^8 ⋅3^3.(1 point)
To simplify the expression 3^8 ⋅ 3^3 using the Product Rule of Exponents, we add the exponents together.
3^8 ⋅ 3^3 = 3^(8+3)
Simplifying the exponent, we have:
3^8 ⋅ 3^3 = 3^11
Therefore, the expression simplifies to 3^11.
To simplify the expression 3^8 ⋅ 3^3 using the Product Rule of Exponents, we need to add the exponents together. The Product Rule states that when you multiply two exponential expressions with the same base, you add their exponents.
So in this case, we have 3^8 ⋅ 3^3. To simplify, we add the exponents 8 and 3 together.
8 + 3 = 11
Therefore, 3^8 ⋅ 3^3 simplifies to 3^11.
Use the product rule of exponents to simplify the expression 8^8 × 3^3
To simplify the expression using the Product Rule of Exponents, we need to add the exponents of the same base.
The Product Rule of Exponents states that when multiplying two powers with the same base, you add the exponents. In this case, the base is 3 and the exponents are 8 and 3.
So, to simplify the expression 3^8 ⋅3^3, we can add the exponents:
3^8 ⋅ 3^3
= 3^(8+3)
= 3^11
Therefore, the simplified expression is 3^11.