Question

Rewrite using a single exponent.
6³ • 6³
A) 6⁹
B) 6¹8
C) 6³6
D) 6²7

Answer 1

`\Large \textsf{Read below}`

Step-by-step explanation:

`\Large \text{$ \sf 6^3\:.\:6^3 = 6^(3 + 3)$}`

`\Large \boxed{\boxed{\text{$ \sf 6^3\:.\:6^3 = 6^(6)$}}}`

Answer 2

When you multiply two exponents with the same base, you add the exponents together. Hence, 6³ • 6³ can be rewritten as 6¹⁸.

Step-by-step explanation:

To rewrite the expression using a single exponent, we need to apply the rule for multiplying powers with the same base. When multiplying two exponents with the same base, we keep the base and add the exponents together. Therefore, for the expression 6³ • 6³, both bases are 6, and both exponents are 3.

The rule is expressed as follows:
am • an = am+n
In this case, we apply this rule as follows:
63 • 63 = 63+3 = 66
So the expression 6³ • 6³ rewritten using a single exponent is 6¹⁸ (6 to the sixth power).