Simplify x675/x453
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The simplified form of x675/x453 cannot be further simplified since the numerator and denominator have different variables.
Simplify x675/x453
To simplify x675/x453, we can first cancel out any common factors between the numerator and denominator.
The prime factorization of 675 is 3 * 3 * 3 * 3 * 5, and the prime factorization of 453 is 3 * 151.
We can see that both 675 and 453 have a factor of 3. Cancelling out the common factor of 3, we are left with:
x675/x453 = (3 * 3 * 3 * 3 * 5) / (3 * 151)
Simplifying further, we get:
x675/x453 = (3 * 5) / 151
Which can also be written as:
x675/x453 = 15/151
Therefore, the simplified form of x675/x453 is 15/151.
It’s x^222
I apologize for the confusion. If the expression is x^675/x^453, we can use the quotient rule for exponents to simplify it:
x^675/x^453 = x^(675-453) = x^222
Therefore, the simplified form of x^675/x^453 is x^222.
Which of the following is an equivalent expression to 1/2 (9-7^0) + (-29)^0
To solve this problem, we need to remember the rule that any number (except for zero) raised to the power of zero is always equal to 1.
First, let's simplify the expression:
1/2(9-7^0) + (-29)^0
Since 7^0 is equal to 1, we can rewrite the expression as:
1/2(9-1) + (-29)^0
Simplifying further:
1/2(8) + (-29)^0
Since any number raised to the power of zero is equal to 1, we can simplify (-29)^0 as:
1/2(8) + 1
Now, let's evaluate the expression:
1/2(8) + 1 = 4 + 1 = 5
Therefore, the equivalent expression to 1/2 (9-7^0) + (-29)^0 is simply 5.
Which of the following correctly used the product rule of exponents to simplify the expression 100^8 • 100^7
To simplify the expression 100^8 • 100^7 using the product rule of exponents, we add the exponents together when the bases are the same. Therefore, we have:
100^8 • 100^7 = 100^(8+7)
The exponent 8+7 simplifies to 15. Thus, the simplified expression is:
100^(8+7) = 100^15
To simplify the expression x675/x453, we need to divide the numerator (x675) by the denominator (x453).
To divide fractions, we follow these steps:
1. Multiply the first fraction (numerator) by the reciprocal of the second fraction (denominator).
2. Simplify the resulting fraction, if possible.
In this case, x675/x453 is not a fraction, but rather an expression with variables. To simplify it, we can't perform any calculations unless we know the value of x. If you have the value of x, please provide it so that we can give you the simplified answer.