Question

Find the product. (Do not use spaces in your answer.)

d j · d k

Answer 1

Answer:

$\displaystyle d^{j + k}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Exponential Rule [Multiplying]: $\displaystyle b^m \cdot b^n = b^{m + n}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle d^j \cdot d^k$

Step 2: Find

1. Multiply [Exponential Rule - Multiplying]:                                                         $\displaystyle d^j \cdot d^k = d^{j + k}$

Answer 2

Answer:

$\huge\boxed{d^j\cdot d^k=d^{j+k}}$

Step-by-step explanation:

Use the theorem:

$a^n\cdot a^m=a^{n+m}$

Why? Look at this example:

$2^3\cdot2^4=\underbrace{2\cdot2\cdot2}_{3}\cdot\underbrace{2\cdot2\cdot2\cdot2}_4=\underbrace{2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2}_{7}=2^7$

Therefore

$d^j\cdot d^k=d^{j+k}$