Mathematics: Which of the following is equal to the expression below ? (7^-5 ) 3 a. (-1/7 ) -15 b. (1/7 ) ^-15 c. (1/7) ^15 /7 ) ^15

Which of the following is equal to the expression

shelly74

18.01.2022

option (c) is correct.

Given expression $(7^{-5})^3$ is equal to $(\frac{1}{7})^{15}$

Step-by-step explanation:

Given expression $(7^{-5})^3$

We have to choose a correct option from the given option that is equal to the given expression.

Consider the given expression $(7^{-5})^3$

Using property of exponents $a^{-m}=(\frac{1}{a} )^m$ , we have,

$(7^{-5})^3=((\frac{1}{7})^5)^3$

Again using property of exponents $(a^m)^n=a^{m\cdot n}$ , we have,

$((\frac{1}{7})^5)^3=(\frac{1}{7})^{5\cdot 3}=(\frac{1}{7})^{15}$

Thus, option (c) is correct.

Given expression $(7^{-5})^3$ is equal to $(\frac{1}{7})^{15}$

0,0(0 оценок)

bthomas78

09.05.2021

about 195k every year and in 10 years you'll have about 97,500 it's a long term investment.

Step-by-step explanation:

0,0(0 оценок)