To simplify the expression 5^10 x 5^5 using the product rule of exponents, we add the exponents together.
5^10 x 5^5 = 5^(10 + 5)
= 5^15
So, 5^10 x 5^5 simplifies to 5^15.
use the product rule of exponent to simplify 5^10 x 5^5
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find the numerical equivalent of 9^9 x 9^-6
To find the numerical equivalent of 9^9 x 9^-6, we can evaluate the exponents separately and then perform the multiplication.
9^9 = 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9
9^9 = 387,420,489
9^-6 = 1 / (9^6)
9^-6 = 1 / (9 x 9 x 9 x 9 x 9 x 9)
9^-6 = 1 / 531,441
Now, we can multiply the two results together.
387,420,489 x (1 / 531,441) = 0.729
Therefore, the numerical equivalent of 9^9 x 9^-6 is 0.729.
9^9 = 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9
9^9 = 387,420,489
9^-6 = 1 / (9^6)
9^-6 = 1 / (9 x 9 x 9 x 9 x 9 x 9)
9^-6 = 1 / 531,441
Now, we can multiply the two results together.
387,420,489 x (1 / 531,441) = 0.729
Therefore, the numerical equivalent of 9^9 x 9^-6 is 0.729.
what is the value of 6.9 - 2^0
The value of 2^0 is 1 since any number raised to the power of 0 is equal to 1. Therefore,
6.9 - 2^0 = 6.9 - 1 = 5.9
6.9 - 2^0 = 6.9 - 1 = 5.9
if the expression 7^15 was simplified using the power rule of exponents, which of the following would be an expanded equivalent expression
The power rule of exponents states that when raising a power to a power, you multiply the exponents. So, if the expression 7^15 is simplified using the power rule of exponents, the expanded equivalent expression would be:
(7^5)^3 = 7^(5*3) = 7^15
(7^5)^3 = 7^(5*3) = 7^15
wrong
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If the expression 7^15 is simplified using the power rule of exponents, an expanded equivalent expression would be:
7^15 = 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7
So, the expanded equivalent expression of 7^15 would be the product of 15 sevens.
If the expression 7^15 is simplified using the power rule of exponents, an expanded equivalent expression would be:
7^15 = 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7
So, the expanded equivalent expression of 7^15 would be the product of 15 sevens.
what is the missing exponent in the following equation
h^450/h^? = h^215
h^450/h^? = h^215
To find the missing exponent, we can use the division rule of exponents, which states that when dividing two exponential expressions with the same base, we subtract the exponents.
In this case, we have h^450 / h^? = h^215.
Applying the division rule, we subtract the exponents on the left side:
h^(450 - ?) = h^215
To find the missing exponent, we can equate the exponents:
450 - ? = 215
Solving for ?, we subtract 215 from both sides:
450 - 215 = ?
235 = ?
Therefore, the missing exponent in the equation is 235.
In this case, we have h^450 / h^? = h^215.
Applying the division rule, we subtract the exponents on the left side:
h^(450 - ?) = h^215
To find the missing exponent, we can equate the exponents:
450 - ? = 215
Solving for ?, we subtract 215 from both sides:
450 - 215 = ?
235 = ?
Therefore, the missing exponent in the equation is 235.
simplify 12^87 divided by 12^25
To simplify 12^87 divided by 12^25, we can use the division rule of exponents, which states that when dividing two exponential expressions with the same base, we subtract the exponents.
In this case, we have 12^87 / 12^25.
Applying the division rule, we subtract the exponents:
12^(87 - 25).
To simplify further:
12^62.
Therefore, 12^87 divided by 12^25 simplifies to 12^62.
In this case, we have 12^87 / 12^25.
Applying the division rule, we subtract the exponents:
12^(87 - 25).
To simplify further:
12^62.
Therefore, 12^87 divided by 12^25 simplifies to 12^62.
what is the missing number in this simplified exponential expression: 7^? divided by 7^5 = 7^12
To find the missing number in the simplified exponential expression, we can use the division rule of exponents, which states that when dividing two exponential expressions with the same base, we subtract the exponents.
In this case, we have 7^? / 7^5 = 7^12.
Applying the division rule, we subtract the exponents:
7^(? - 5) = 7^12.
To find the missing number, we can equate the exponents:
? - 5 = 12.
Solving for ?, we add 5 to both sides:
? = 17.
Therefore, the missing number in the simplified exponential expression is 17.
In this case, we have 7^? / 7^5 = 7^12.
Applying the division rule, we subtract the exponents:
7^(? - 5) = 7^12.
To find the missing number, we can equate the exponents:
? - 5 = 12.
Solving for ?, we add 5 to both sides:
? = 17.
Therefore, the missing number in the simplified exponential expression is 17.
use the power rule of exponents to simplify (10^3)^6
To simplify the expression (10^3)^6 using the power rule of exponents, we multiply the exponents together.
(10^3)^6 = 10^(3*6) = 10^18
So, (10^3)^6 simplifies to 10^18.
(10^3)^6 = 10^(3*6) = 10^18
So, (10^3)^6 simplifies to 10^18.
use the power rule of expositions to create a simplified equivalent expression for (19^4)^9
Using the power rule of exponents, we multiply the exponents together.
(19^4)^9 = 19^(4*9) = 19^36
So, a simplified equivalent expression for (19^4)^9 is 19^36.
(19^4)^9 = 19^(4*9) = 19^36
So, a simplified equivalent expression for (19^4)^9 is 19^36.
apply the property of negative integer exponents to solve 7^-3 the answer should not contain any exponent expression or decimal
The property of negative integer exponents states that a number raised to a negative exponent is equal to the reciprocal of the number raised to the positive exponent. In this case, we have 7^-3.
Applying the property, we can rewrite 7^-3 as 1 / 7^3.
Calculating 7^3, we have 7 x 7 x 7 = 343.
Therefore, 7^-3 is equal to 1 / 343.
Applying the property, we can rewrite 7^-3 as 1 / 7^3.
Calculating 7^3, we have 7 x 7 x 7 = 343.
Therefore, 7^-3 is equal to 1 / 343.
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