# 5th Grade - Powers And Exponents

 Grade Level: 5th Skill: Numbers - Small, Large and Prime Topic: Powers and Exponents Goal: Understand and compute positive integer powers of nonnegative integers; compute examples as repeated multiplication. Skill Description: Students need to know what exponents are, that they represent repeated multiplication, and be able to solve simple problems using exponents

## Building Blocks/Prerequisites

### Sample Problems

 (1) When is it useful to use repeated addition? (when you want to multiply) (2) Solve: 5x5x5 (125) (3) Write using exponents: 3x3x3x3x3x3x3 (3^7) (4) Write in expanded form: 9 squared (9x9) (5) Solve: 6 cubed (6x6x6)

### Online Resources

 (1) (2) (3) (4)

### Extra Help Problems

 (1) Write in expanded form: 79 (7x7x7x7x7x7x7x7x7) (2) Write in expanded form:86 (8x8x8x8x8x8) (3) Write in expanded form: 203 (20x20x20) (4) Write in expanded form:145 (14x14x14x14x14) (5) Write in expanded form: 356 (35x35x35x35x35x35) (6) Write in expanded form: 425 (42x42x42x42x42) (7) Write in expanded form: 124 (12x12x12x12) (8) Write in expanded form: 187 squared (187x187) (9) Write in expanded form: 673 cubed (673x673x673) (10) Write in expanded form: 97362 (9736x9736) (11) Write using exponents: 6x6x6 (6^3) (12) Write using exponents: 4x4x4x4x4x4x4 (4^7) (13) Write using exponents: 8x8 (8^2) (14) Write using exponents: 21x21x21x21 (21^4) (15) Write using exponents: 59x59x59 (59^3) (16) Write using exponents: 38x38x38x38x38 (38^5) (17) Write using exponents:213x213 (213^2) (18) Write using exponents:379x379x379x379x379x379 (379^6) (19) Write using exponents: 621x621x621 (621^3) (20) Write using exponents: 72,918 x 72,918x72,918 (72,918^3) (21) Solve: 9 squared (81) (22) Solve: 35 (243) (23) Solve: 4 cubed (64) (24) Solve: 54 (625) (25) Solve: 26 (64)