Use the Product Rule of Exponents to simplify 5^10⋅5^5 (1 point)
25^15
25 superscript 15 baseline
5^50
5 superscript 50 baseline
5^15
5 superscript 15 baseline
25^50
The correct answer is 5^15 (5 to the power of 15). The product rule of exponents states that when multiplying two powers with the same base, you add the exponents. In this case, 5^10 multiplied by 5^5 would be 5^(10+5), which simplifies to 5^15. Therefore, the answer is 5^15.
What is the missing exponent in the following equation?
h^450/h^? = h^215 (1 point)
To solve this equation using the quotient rule of exponents, we subtract the exponents.
So the missing exponent is:
450 - ? = 215
To solve for ?, we subtract 215 from both sides of the equation:
450 - 215 = 215 - ?
235 = ?
Therefore, the missing exponent is 235.
Simplify 1287÷1225 .(1 point)
To simplify 1287 ÷ 1225, divide the numerator by the denominator:
1287 ÷ 1225 = 1.05
Therefore, the simplified form of 1287 ÷ 1225 is 1.05.
To simplify the expression 5^10 ⋅ 5^5 using the Product Rule of Exponents, we add the exponents together while keeping the base the same.
5^10 ⋅ 5^5 becomes 5^(10+5).
Therefore, the simplified expression is 5^15.
To simplify the expression 5^10 * 5^5 using the Product Rule of Exponents, you need to add the exponents together. The rule states that when you multiply two exponential expressions with the same base, you add the exponents. In this case, the base is 5 and the exponents are 10 and 5. So, 5^10 * 5^5 can be simplified as 5^(10+5) = 5^15.
Therefore, the simplified expression is 5^15 (5 raised to the power of 15).