Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expressions are equivalent to
6*6*6*6*6 ?
Choose 2 answers:
A
(6^(2))^(3)
B
2^(5)*3^(5)
c
(6^(6))/(6^(1))
D
3^(2)*2^(3)

Which expressions are equivalent to $\newline$ $6 \times 6 \times 6 \times 6 \times 6$ ? $\newline$ Choose $2$ answers: $\newline$ A) $(6^{2})^{3}$ $\newline$ B) $2^{5} \times 3^{5}$ $\newline$ C) $\frac{6^{6}}{6^{1}}$ $\newline$ D) $3^{2} \times 2^{3}$

View step-by-step help

View step-by-step help

Divide numbers written in scientific notation

Full solution

Q. Which expressions are equivalent to

\newline

6 \times 6 \times 6 \times 6 \times 6

?

\newline

Choose

2

answers:

\newline

A)

(6^{2})^{3}

\newline

B)

2^{5} \times 3^{5}

\newline

C)

\frac{6^{6}}{6^{1}}

\newline

D)

3^{2} \times 2^{3}

Understand Given Expression: Understand the given expression. $\newline$ The given expression is $6*6*6*6*6$ , which is $6$ raised to the power of $5$ , or $6^5$ .
Evaluate Choices: Evaluate each choice to see if it is equivalent to $6^5$ . Start with choice A: $(6^{2})^{3}$ . Using the rule of exponents $(a^{m})^{n} = a^{m*n}$ , we calculate $(6^{2})^{3} = 6^{2*3} = 6^6$ , which is not equal to $6^5$ .
Choice A Evaluation: Move on to choice B: $2^{5}\times3^{5}$ . Using the rule of exponents for multiplication with the same exponent $(a\times b)^n = a^n \times b^n$ , we can reverse this to see if $2^5 \times 3^5$ is equivalent to $6^5$ . Since $6 = 2\times3$ , we can write $6^5$ as $(2\times3)^5 = 2^5 \times 3^5$ . Therefore, choice B is equivalent to $6^5$ .
Choice B Evaluation: Evaluate choice C: $(6^{6})/(6^{1})$ . Using the rule of exponents for division $a^{m}/a^{n} = a^{m-n}$ , we calculate $(6^{6})/(6^{1}) = 6^{6-1} = 6^5$ . Therefore, choice C is equivalent to $6^5$ .
Choice C Evaluation: Evaluate choice D: $3^{2}\times2^{3}$ . This choice represents the multiplication of different bases raised to different powers. It cannot be simplified to a single base raised to a single power without additional factors. Therefore, it cannot be equivalent to $6^{5}$ .
Choice D Evaluation: Select the correct choices. $\newline$ From the evaluations, we have determined that choices B and C are equivalent to $6^5$ .

More problems from Divide numbers written in scientific notation

Question

16 a+72

to identify the equivalent expressions.

\newline

2

\newline

4(4 a+18)

\newline

8(2 a+9)

\newline

2(8+36 a)

\newline

2(8 a+72)

Posted 4 months ago

Question

30-6 v-18 w

to identify the equivalent expressions.

\newline

2

\newline

2(15-12 v)

\newline

3(10-3 v+6 w)

\newline

6(5-v-3 w)

\newline

2(15-3 v-9 w)

Posted 4 months ago

Question

24 m-12 p+72

to identify the equivalent expressions.

\newline

2

\newline

6(4 m+2 p+12)

\newline

2(12 m-6 p+36)

\newline

12(2 m-p+6)

\newline

24(m-12 p+3)

Posted 4 months ago

Question

48-8 x

to identify the equivalent expressions.

\newline

2

\newline

3(16-8 x)

\newline

2(24-4 x)

\newline

8(6-x)

\newline

4(12-4 x)

Posted 1 month ago

Question

Multiply and simplify the following complex numbers:

\newline

(-3-2 i) \cdot(-4+2 i)

Posted 3 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(1-2 i) \cdot(4+i)

Posted 3 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-1+4 i) \cdot(4-3 i)

Posted 3 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-4-4 i) \cdot(-5-3 i)

Posted 3 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(1+5 i) \cdot(-3-i)

Posted 3 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-2+2 i) \cdot(5+5 i)

Posted 3 months ago