simplify and write with only positive exponents 1. x to yhe negitive six power times x to the fifth power 2. y to the negitive twelth power divided by 7y to the fifth power
X^-6 times X^5= X^-1 (add exponents
-6 + 5=-1
X to the negative 1 can be rewritten 1/X
so you have only postitve exponents.
Y^-12 divided by Y^5 = Y^-17 (subtract
exponents -12-5=-17)
So Y^-17=1/Y^17
To simplify and write these expressions with only positive exponents, we'll use the exponent properties.
1. x to the negative sixth power times x to the fifth power:
According to the exponent property, when multiplying two powers with the same base, you add the exponents.
So, x^(-6) * x^5 = x^(-6+5) = x^(-1) = 1/x
Therefore, 1/x is the simplified expression.
2. y to the negative twelfth power divided by 7y to the fifth power:
Again, using the exponent properties, when dividing two powers with the same base, you subtract the exponents.
Therefore, y^(-12) / (7y^5) = y^(-12-5) / 7 = y^(-17) / 7
So, y^(-17) / 7 is the simplified expression with only positive exponents.