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
5 answers
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)
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.
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.
1287 ÷ 1225 = 1.05
Therefore, the simplified form of 1287 ÷ 1225 is 1.05.
1 answer