Use the product rule of exponents to simplify 5¹⁰ • 5⁵
25⁵⁰
5⁵⁰
5¹⁵
25¹⁵
Are you sure
Apologies for the mistake. Let's correct it:
To simplify the expression 5¹⁰ • 5⁵ using the product rule of exponents, you add the exponents of the same base.
In this case, we have 5¹⁰ • 5⁵.
Adding the exponents 10 and 5, we get 15.
Therefore, 5¹⁰ • 5⁵ simplifies to 5¹⁵.
So, yes, the correct answer is 5¹⁵.
What is the missing exponent in the following equation h⁴⁵⁰/h? = h²¹⁵
To find the missing exponent in the equation h⁴⁵⁰/h = h²¹⁵, we can apply the quotient rule of exponents.
According to the quotient rule, when dividing two numbers with the same base, you subtract the exponents.
In this case, we have h⁴⁵⁰/h.
Subtracting the exponent of h in the denominator from the exponent of h in the numerator, we get 450 - 1 = 449.
Thus, h⁴⁵⁰/h can be simplified to h⁴⁴⁹ or h⁴⁹⁹.
Therefore, the missing exponent is 449 or 499.
So which one is correct
Apologies for the confusion. The correct missing exponent is 449.
The equation h⁴⁵⁰/h simplifies to h⁴⁴⁹.
Therefore, the missing exponent is 449.
Simplify 12⁸⁷ ÷ 12²⁵
To simplify 12⁸⁷ ÷ 12²⁵, we can apply the quotient rule of exponents.
According to the quotient rule, when dividing two numbers with the same base, you subtract the exponent of the denominator from the exponent of the numerator.
In this case, we have 12⁸⁷ ÷ 12²⁵.
Subtracting the exponent of the denominator (25) from the exponent of the numerator (87), we get 87 - 25 = 62.
Thus, 12⁸⁷ ÷ 12²⁵ simplifies to 12⁶².
Therefore, the simplified expression is 12⁶².
What is the value of 6.9 - 2⁰
5.9
6.9
7.9
4.9
The value of 6.9 - 2⁰ is 6.9.
When any number, including 2, is raised to the power of 0, it equals 1. So, 2⁰ = 1.
Therefore, 6.9 - 2⁰ simplifies to 6.9 - 1, which equals 5.9.