1. One side of a cube measures 8 cm. What is the surface area?
Solution: The formula for obtaining the surface area of the cube is SA = 6s² where SA refers to the surface area of the cube, s refers to the measure of its side. We are just simply multiplying 6 to the area of one face of the cube since the cube has 6 faces. By direct substitution:
SA = 6(8)² = 6(64) = 384 cm²
Therefore, the surface area of the cube whose side measures 8 cm is 384 square centimeters.
2. There are 9⁴ pieces of leaves on a tree, and there are 9⁸ trees in the forest. How many pieces of leaves are there in the forest? Leave your answer in the form of a raised to b.
Solution:
We can obtain the total number of leaves in the forest by simply multiplying 9⁴ by 9⁸. By applying the rule of powers: 9⁴ x 9⁸ can be further simplified as 9 raised to 4+8. Since 4 added to 8 is 12, therefore, there are 9¹² pieces of leaves present in the forest.
3. Jairus spends 10² pesos in his daily allowance. How much will he spend in 10³ days?
Solution:
Similiar to the application above, simply multiply 10² by 10³. So: 10² x 10³ = 10^(2+3) = 10⁵.
Therefore, Jairus spends 10⁵ or 100,000 pesos in 10³ or 1,000 days.
4. The weight of newborn baby chicken weighs 3^(-2) pounds. If an adult chicken can weigh up to 3⁵ times more than a newborn chicken, how does an adult chicken weigh?
Solution:
Simply multiply 3^(-2) and 3⁵. By laws of exponents: 3^(-2) x 3⁵ = 3^(-2+5) = 3³
Therefore, an adult chicken weighs 3³ or 27 pounds.
Answers & Comments
Verified answer
APPLICATION OF LAWS OF EXPONENTS
Answers with Step-by-step explanation:
1. One side of a cube measures 8 cm. What is the surface area?
Solution: The formula for obtaining the surface area of the cube is SA = 6s² where SA refers to the surface area of the cube, s refers to the measure of its side. We are just simply multiplying 6 to the area of one face of the cube since the cube has 6 faces. By direct substitution:
SA = 6(8)² = 6(64) = 384 cm²
Therefore, the surface area of the cube whose side measures 8 cm is 384 square centimeters.
2. There are 9⁴ pieces of leaves on a tree, and there are 9⁸ trees in the forest. How many pieces of leaves are there in the forest? Leave your answer in the form of a raised to b.
Solution:
We can obtain the total number of leaves in the forest by simply multiplying 9⁴ by 9⁸. By applying the rule of powers: 9⁴ x 9⁸ can be further simplified as 9 raised to 4+8. Since 4 added to 8 is 12, therefore, there are 9¹² pieces of leaves present in the forest.
3. Jairus spends 10² pesos in his daily allowance. How much will he spend in 10³ days?
Solution:
Similiar to the application above, simply multiply 10² by 10³. So: 10² x 10³ = 10^(2+3) = 10⁵.
Therefore, Jairus spends 10⁵ or 100,000 pesos in 10³ or 1,000 days.
4. The weight of newborn baby chicken weighs 3^(-2) pounds. If an adult chicken can weigh up to 3⁵ times more than a newborn chicken, how does an adult chicken weigh?
Solution:
Simply multiply 3^(-2) and 3⁵. By laws of exponents: 3^(-2) x 3⁵ = 3^(-2+5) = 3³
Therefore, an adult chicken weighs 3³ or 27 pounds.
Read more about rules of exponents:
brainly.ph/question/5908719
#BRAINLYFAST