Let's look at the numerator!
- 1 23* (- 3/5)
Before we evaluate this expression, let's first rewrite the expression so that all of the numbers are fractions.
When multiplying real numbers, the product will be positive if the signs are the same and it will be negative if the signs are different.
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Same Sign & Different Signs
(+)(+)=(+) & (+)(-)=(-)
(-)(-)=(+) & (-)(+)=(-)
In our case both numbers are negative, so the product will be positive.
When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!
The numerator of the complex fraction is 1. Next, let's simplify the denominator!
Simplifying the Denominator
Let's look at the denominator!
(1/3)^2
Raising a number to the second power is the same as multiplying this number by itself.
(1/3)^2=1/3* 1/3
Once again, recall that when we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!
The denominator of the complex fraction is 19. Let's get back to the complex fraction.
Simplifying the Complex Fraction
We have simplified both the numerator and the denominator of the complex fraction.
- 1 23* (- 35)/( 13)^2=1/19
Recall that fractions can be thought of as dividing the numerator by the denominator.
1/19=1Ă· 1/9
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
1Ă· 1/9 = 1* 9/1
Now, we can use the Identity Property of Multiplication to fully simplify this expression.
