Question

1)1/5^-8*1/5^6 2) 1/7^-14*1/7^13

Answer 1

Ответ:

1) 25

2) 7

Объяснение:

Answer 2

To simplify these expressions, you can use the properties of exponents. Specifically, when you multiply numbers with the same base and different exponents, you can add the exponents.

1. (1/5^(-8)) * (1/5^6) To multiply these fractions, add the exponents of 5: 1/5^(-8+6) 1/5^(-2)

Now, to eliminate the negative exponent, you can move it to the denominator by changing the sign of the exponent: 5^2

So, the result of the first expression is 25.

2. (1/7^(-14)) * (1/7^13) Again, add the exponents of 7: 1/7^(-14+13) 1/7^(-1)

Now, move the negative exponent to the denominator by changing the sign of the exponent: 7^1

So, the result of the second expression is 7.