Math / Algebra

QuestionSimplify to a single power of 6: $\frac{6^{5}}{6^{3}}$
Answer Attempt 2 out of 2 $\square$ Answer: 6 Submit Answer

Studdy Solution

STEP 1

1. The problem involves simplifying an expression with powers of the same base.
2. We can use the properties of exponents to simplify the expression.

STEP 2

1. Apply the quotient rule for exponents.
2. Simplify the expression to a single power of 6.

STEP 3

Apply the quotient rule for exponents, which states that for any non-zero number $a$ , and integers $m$ and $n$ , $\frac{a^m}{a^n} = a^{m-n}$ .
$\frac{6^5}{6^3} = 6^{5-3}$

STEP 4

Simplify the exponent:
$5 - 3 = 2$

STEP 5

Write the expression as a single power of 6:
$6^2$
The simplified expression is:
$\boxed{6^2}$

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QuestionSimplify to a single power of 6: $\frac{6^{5}}{6^{3}}$
Answer Attempt 2 out of 2 $\square$ Answer: 6 Submit Answer

Studdy Solution

STEP 1

1. The problem involves simplifying an expression with powers of the same base.
2. We can use the properties of exponents to simplify the expression.

STEP 2

1. Apply the quotient rule for exponents.
2. Simplify the expression to a single power of 6.

STEP 3

Apply the quotient rule for exponents, which states that for any non-zero number $a$ , and integers $m$ and $n$ , $\frac{a^m}{a^n} = a^{m-n}$ .
$\frac{6^5}{6^3} = 6^{5-3}$

STEP 4

Simplify the exponent:
$5 - 3 = 2$

STEP 5

Write the expression as a single power of 6:
$6^2$
The simplified expression is:
$\boxed{6^2}$

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QuestionSimplify to a single power of 6: 6563\frac{6^{5}}{6^{3}}6365​Answer Attempt 2 out of 2 □\square□ Answer: 6 Submit Answer

Studdy Solution

STEP 1

1. The problem involves simplifying an expression with powers of the same base.2. We can use the properties of exponents to simplify the expression.

STEP 2

1. Apply the quotient rule for exponents.2. Simplify the expression to a single power of 6.

STEP 3

Apply the quotient rule for exponents, which states that for any non-zero number aaa, and integers mmm and nnn, aman=am−n\frac{a^m}{a^n} = a^{m-n}anam​=am−n.6563=65−3 \frac{6^5}{6^3} = 6^{5-3} 6365​=65−3

STEP 4

Simplify the exponent:5−3=2 5 - 3 = 2 5−3=2

STEP 5

Write the expression as a single power of 6:62 6^2 62The simplified expression is:62 \boxed{6^2} 62​

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QuestionSimplify to a single power of 6: $\frac{6^{5}}{6^{3}}$
Answer Attempt 2 out of 2 $\square$ Answer: 6 Submit Answer

1. The problem involves simplifying an expression with powers of the same base.
2. We can use the properties of exponents to simplify the expression.

1. Apply the quotient rule for exponents.
2. Simplify the expression to a single power of 6.

Apply the quotient rule for exponents, which states that for any non-zero number $a$ , and integers $m$ and $n$ , $\frac{a^m}{a^n} = a^{m-n}$ .
$\frac{6^5}{6^3} = 6^{5-3}$

Simplify the exponent:
$5 - 3 = 2$

Write the expression as a single power of 6:
$6^2$
The simplified expression is:
$\boxed{6^2}$