Write in exponential notation: 2*2^(5)*2

Recognize Base Number: Recognize the base number. All terms in the expression have the same base, which is 2. This means we can combine the exponents by adding them together when multiplying.Add Exponents: Add the exponents. The expression 2*2^(5)*2 can be written as 2^(1)*2^(5)*2^(1) since any number without an exponent is implicitly to the power of 1. According to the laws of exponents, when you multiply numbers with the same base, you add the exponents. So, 1 + 5 + 1 = 7.Write in Exponential Notation: Write the expression in exponential notation. Now that we have added the exponents, we can write the expression as 2^(7).

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Write in exponential notation:

2*2^(5)*2

Write in exponential notation: $\newline$ $2 \cdot 2^{5} \cdot 2$

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Grade 7

Understanding exponents

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Q. Write in exponential notation:

\newline

2 \cdot 2^{5} \cdot 2

Recognize Base Number: Recognize the base number. $\newline$ All terms in the expression have the same base, which is $2$ . This means we can combine the exponents by adding them together when multiplying.
Add Exponents: Add the exponents. $\newline$ The expression $2 \times 2^{5} \times 2$ can be written as $2^{1} \times 2^{5} \times 2^{1}$ since any number without an exponent is implicitly to the power of $1$ . According to the laws of exponents, when you multiply numbers with the same base, you add the exponents. So, $1 + 5 + 1 = 7$ .
Write in Exponential Notation: Write the expression in exponential notation. $\newline$ Now that we have added the exponents, we can write the expression as $2^{7}$ .