Question

simplify to a single power of 6
6^8/6^3

Answer 1

simplify to a single power of 3
3^5/3

Answer 2

simplify to a single power of 2
(2^2)^5

Answer 3

simplify to a single power of 5
(5^4)^3

Answer 4

simplify to a single power of 2
(2^4)^5

Answer 5

simplify to a single power of 6
6^4 • 6^5

Answer 6

simplify to a single power of 6
6^4 • 6^3 my bad

Answer 7

To simplify \( \frac{6^8}{6^3} \), you can use the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).

Applying this property, we get:

\[
\frac{6^8}{6^3} = 6^{8-3} = 6^5.
\]

So, the simplified form is \( 6^5 \).

Answer 8

To simplify \( \frac{3^5}{3} \), you can use the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).

Applying this property, we have:

\[
\frac{3^5}{3} = \frac{3^5}{3^1} = 3^{5-1} = 3^4.
\]

Thus, the simplified form is \( 3^4 \).

Answer 9

To simplify \( (2^2)^5 \), you can use the property of exponents that states \( (a^m)^n = a^{m \cdot n} \).

Applying this property, we get:

\[
(2^2)^5 = 2^{2 \cdot 5} = 2^{10}.
\]

So, the simplified form is \( 2^{10} \).

Answer 10

To simplify \( (5^4)^3 \), you can use the property of exponents that states \( (a^m)^n = a^{m \cdot n} \).

Applying this property, we have:

\[
(5^4)^3 = 5^{4 \cdot 3} = 5^{12}.
\]

So, the simplified form is \( 5^{12} \).

Answer 11

To simplify \( (2^4)^5 \), you can use the property of exponents that states \( (a^m)^n = a^{m \cdot n} \).

Applying this property, we have:

\[
(2^4)^5 = 2^{4 \cdot 5} = 2^{20}.
\]

So, the simplified form is \( 2^{20} \).

Answer 12

To simplify \( 6^4 \cdot 6^5 \), you can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).

Applying this property, we get:

\[
6^4 \cdot 6^5 = 6^{4+5} = 6^9.
\]

So, the simplified form is \( 6^9 \).

Answer 13

No problem! To simplify \( 6^4 \cdot 6^3 \), you can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).

Applying this property, we have:

\[
6^4 \cdot 6^3 = 6^{4+3} = 6^7.
\]

So, the simplified form is \( 6^7 \).