Question

1. write the exponent for each expression.

7×7×7

1. (-3)^0
2. 0.5×0.5×0.5

Explanation:

Step1: Recall exponent definition

An exponent represents the number of times a base is multiplied by itself. For $a\times a\times\cdots\times a$ ($n$ times), it can be written as $a^n$, where $a$ is the base and $n$ is the exponent.

Step2: Analyze $7\times7\times7$

The base is 7 and it is multiplied 3 times. So the exponent - form is $7^3$, and the exponent is 3.

Step3: Analyze $(-\frac{2}{3})\times(-\frac{2}{3})\times(-\frac{2}{3})\times(-\frac{2}{3})$

The base is $-\frac{2}{3}$ and it is multiplied 4 times. So the exponent - form is $(-\frac{2}{3})^4$, and the exponent is 4.

Step4: Analyze $0.5\times0.5\times0.5$

The base is 0.5 and it is multiplied 3 times. So the exponent - form is $0.5^3$, and the exponent is 3.

Answer:

1. For $7\times7\times7$, the exponent is 3.
2. For $(-\frac{2}{3})\times(-\frac{2}{3})\times(-\frac{2}{3})\times(-\frac{2}{3})$, the exponent is 4.
3. For $0.5\times0.5\times0.5$, the exponent is 3.