The product rule of exponents states that when you multiply exponential expressions with the same base, you can add the exponents.
Therefore, 5^10 multiplied by 5^5 is equal to 5^(10+5), which simplifies to 5^15.
So the answer is 5^15.
Use the PRODUCT RULE OF EXPONENTS to simplify 5^10 5^5
Answers
25^15
5^15
25^50
5^50
7 answers
Find the numerical equivalent of 9^9 . 9^-6
To find the numerical equivalent of 9^9 * 9^-6, we can simplify the expression.
First, we can rewrite 9^-6 as 1/9^6.
Now, we can combine the two expressions by multiplying them together:
9^9 * 1/9^6
Using the product rule of exponents, we know that when dividing exponential expressions with the same base, we subtract the exponents.
So, 1/9^6 is equal to 9^(0-6), which simplifies to 9^-6.
Therefore, the expression becomes:
9^9 * 9^-6 = 9^(9-6) = 9^3
So the numerical equivalent of 9^9 * 9^-6 is 9^3.
First, we can rewrite 9^-6 as 1/9^6.
Now, we can combine the two expressions by multiplying them together:
9^9 * 1/9^6
Using the product rule of exponents, we know that when dividing exponential expressions with the same base, we subtract the exponents.
So, 1/9^6 is equal to 9^(0-6), which simplifies to 9^-6.
Therefore, the expression becomes:
9^9 * 9^-6 = 9^(9-6) = 9^3
So the numerical equivalent of 9^9 * 9^-6 is 9^3.
What is the missing exponent in the following equation?
h^450/h^7 = h^215
h^450/h^7 = h^215
To find the missing exponent in the equation h^450/h^7 = h^215, we can use the quotient rule of exponents.
The quotient rule states that when dividing exponential expressions with the same base, we subtract the exponents.
In this case, we have h^450 divided by h^7, so the missing exponent can be found by subtracting 7 from 450.
Therefore, the missing exponent is 443.
So the complete equation is h^450/h^7 = h^443.
The quotient rule states that when dividing exponential expressions with the same base, we subtract the exponents.
In this case, we have h^450 divided by h^7, so the missing exponent can be found by subtracting 7 from 450.
Therefore, the missing exponent is 443.
So the complete equation is h^450/h^7 = h^443.
simplify 12^57 ÷ 12^25
To simplify 12^57 ÷ 12^25, we can use the quotient rule of exponents.
The quotient rule states that when dividing exponential expressions with the same base, we subtract the exponents.
In this case, we have 12^57 divided by 12^25, so the simplified expression can be found by subtracting 25 from 57.
Therefore, the simplified expression is 12^(57-25) = 12^32.
So 12^57 ÷ 12^25 simplifies to 12^32.
The quotient rule states that when dividing exponential expressions with the same base, we subtract the exponents.
In this case, we have 12^57 divided by 12^25, so the simplified expression can be found by subtracting 25 from 57.
Therefore, the simplified expression is 12^(57-25) = 12^32.
So 12^57 ÷ 12^25 simplifies to 12^32.
1 answer