Use the product rule of exponents to simplify 5^10 × 5^5
To simplify expressions with exponents using the product rule, we add the exponents when multiplying powers with the same base.
Therefore, applying the rule to 5^10 × 5^5 we have:
5^10 × 5^5 = 5^(10 + 5) = 5^15
To simplify the expression 5^10 × 5^5 using the product rule of exponents, we add the exponents.
The product rule states that when multiplying two powers with the same base, you add the exponents.
So in this case, we add the exponents 10 and 5:
5^10 × 5^5 = 5^(10+5)
Now let's simplify the exponent:
5^(10+5) = 5^15
So the simplified expression is 5^15.
To simplify the expression 5^10 × 5^5 using the product rule of exponents, we need to combine the two exponents.
The product rule of exponents states that when multiplying two powers with the same base, you add their exponents. In this case, the base is 5.
So, 5^10 × 5^5 can be simplified by adding the exponents:
5^10 × 5^5 = 5^(10 + 5)
Now we can add the exponents:
5^(10 + 5) = 5^15
Therefore, 5^10 × 5^5 simplifies to 5^15.