(Laws of Exponents with Integer Exponents MC)

What is the value of the quantity negative one seventh cubed all raised to the power of negative 3?
−1
1
−40,353,607
40,353,607



Answer :

The value of the expression ((-1/7)^3)^-3 is -40353607

How to determine the value of the expression?

The expression is given as

negative one seventh cubed all raised to the power of negative 3

Rewrite the expression, properly as

((-1/7)^3)^-3

Evaluate the products of the exponents

So, we have

((-1/7)^3)^-3 = (-1/7)^-9

Apply the law of exponents

So, we have

((-1/7)^3)^-3 = (-7)^9

Evaluate the exponents

So, we have

((-1/7)^3)^-3 = -40353607

Hence, the value of the expression ((-1/7)^3)^-3 is -40353607

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