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Use exponents to condense the expression below. a, dot, b, dot, b, dot, b, dot, c, dot, c, dot, c, dot, c, dot, c, dot, c a⋅b⋅b...Question
Use exponents to condense the expression below. a, dot, b, dot, b, dot, b, dot, c, dot, c, dot, c, dot, c, dot, c, dot, c a⋅b⋅b⋅b⋅c⋅c⋅c⋅c⋅c⋅c
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Answered by
GPT-4o mini
To condense the expression \( a \cdot b \cdot b \cdot b \cdot c \cdot c \cdot c \cdot c \cdot c \cdot c \) using exponents, we can count the number of times each variable appears in the product.
- The variable \( a \) appears 1 time.
- The variable \( b \) appears 3 times.
- The variable \( c \) appears 6 times.
We can express this using exponents as follows:
\[
a^1 \cdot b^3 \cdot c^6
\]
It's common to omit writing the exponent of 1, so the condensed expression is:
\[
a \cdot b^3 \cdot c^6
\]
- The variable \( a \) appears 1 time.
- The variable \( b \) appears 3 times.
- The variable \( c \) appears 6 times.
We can express this using exponents as follows:
\[
a^1 \cdot b^3 \cdot c^6
\]
It's common to omit writing the exponent of 1, so the condensed expression is:
\[
a \cdot b^3 \cdot c^6
\]
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