2.(2b^3)^2 = 4b^6
3.(3a^3)^2 = 9a^6
4.(2^5)2 = 1024
6.(5x^2)^3 = 125x^6
Step-by-step explanation:
The exponent rule will be used.
Exponent rule states that
[tex](a.b)^n = a^n.b^n[/tex]
Similarly, if there is exponent on exponent then the exponents are multiplied.
We will solve the expressions one by one
So,
2.(2b^3)^2
[tex](2b^3)^2[/tex]
Distributing the exponent
[tex](2^2)(b^{3*2}) = 4b^6[/tex]
3.(3a^3)^2
Distributing the external exponent
[tex](3^2)(a^{3*2}) = 9a^6[/tex]
4.(2^5)2
We will solve the internal round bracket exponent first and then apply the external exponent.
[tex](32)^2 = 1024[/tex]
6.(5x^2)^3
[tex](5^3)(x^{2*3})\\= 125x^6[/tex]
Keywords: Exponents, properties of exponents
Learn more about exponents at:
- brainly.com/question/9527422
- brainly.com/question/9381523
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