use the Product Rule of Exponents to simplify 5^10 * 5^5
A. 5^15
B. 5^50
C. 25^50
D.25^15
According to the Product Rule of Exponents, when multiplying two powers with the same base, you add the exponents.
In this case, 5^10 * 5^5 can be simplified as 5^(10+5) = 5^15.
Therefore, the answer is A. 5^15.
What is the missing exponent in the following equation
h^450/h^?
We can use the Quotient Rule of Exponents here, which states that when dividing two powers with the same base, you subtract the exponent of the denominator from the exponent of the numerator.
In this case, h^450/h^? can be simplified as h^(450-?).
To find the missing exponent, we need more information or context.
What is the missing exponent in the following equation
h^450/h^? = h^215
We can use the Quotient Rule of Exponents here, which states that when dividing two powers with the same base, you subtract the exponent of the denominator from the exponent of the numerator.
In this case, h^450/h^? can be simplified as h^(450-?).
The equation is h^(450-?) = h^215.
To find the missing exponent, we can equate the exponents:
450 - ? = 215
To isolate the missing exponent, we can subtract 215 from both sides of the equation:
-? = 215 - 450
-? = -235
Finally, to solve for the missing exponent, we can multiply both sides of the equation by -1, remembering that multiplying or dividing both sides of an equation by a negative number reverses the direction of the inequality:
? = 235
Therefore, the missing exponent in the equation h^450/h^? = h^215 is 235.
Simplify 12^87 divided by 12^25
According to the Quotient Rule of Exponents, when dividing two powers with the same base, you subtract the exponent of the denominator from the exponent of the numerator.
In this case, 12^87 divided by 12^25 can be simplified as 12^(87-25).
Therefore, the expression simplifies to 12^62.
What is the value of 6.9 - 2^0
A. 5.9
B. 7.9
C. 6.9
D. 4.9
2^0 equals 1, so we can substitute that into the equation:
6.9 - 1
This simplifies to:
5.9
Therefore, the value of 6.9 - 2^0 is A. 5.9.