Something I learned this week

This week, I learned about exponent laws, among many other things.

  • I learned how to multiply powers with the same base

When multiplying powers with the same base, you add the exponents.

Ex: 6^4\cdot6^8

= 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

= 6^{12}

Another way to evaluate this:

6^4\cdot6^8

= 4+8

=6^{12}


  • I learned how to divide powers with the same bass

When dividing powers with the same base, you subtract the exponents.

Ex: 2^7\div2^4

= 7-4

= 2^3


  • And I learned about the power of a power

To raise a power of a power, you multiply the exponents.

Ex: (8^5)^3

= (8^5)(8^5)(8^5)

= 8^5+^5+^5

= 8^{15}

or: (8^5)^3

= (8^5)(8^5)(8^5)

= 8^5\cdot^3

= 8^{15}

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